Paper Citation Record · LEDGER

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory

As of 14 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 2 inbound Pith citation observations for arXiv:2605.30438.

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pith.paper-citation-record.v1
2605.30438 v1

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measured 66 of 66 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation fefbeeee-d460-4270-8bbb-8591c7b4b42a · outbound

This paper cites Initiation of slime mold aggregation viewed as an instability.Journal of theoretical biology, 26(3):399–415, 1970.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Initiation of slime mold aggregation viewed as an instability.Journal of theoretical biology, 26(3):399–415, 1970

Reference 1

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Observation ec341968-717e-45ba-b033-22308ec31cdb · outbound

This paper cites Model for chemotaxis.Journal of theoretical biology, 30(2):225–234, 1971.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Model for chemotaxis.Journal of theoretical biology, 30(2):225–234, 1971

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Observation e6ba8c9a-987a-4f9e-9e11-f2969371bdc4 · outbound

This paper cites Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality.Annals of Mathematics, 138(1):213–242, 1993.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality.Annals of Mathematics, 138(1):213–242, 1993

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Observation bd66823b-2b70-40c3-b64d-206ec6768863 · outbound

This paper cites Competing symmetries, the logarithmic HLS inequality and Onofri’s in- equality on sn.Geometric & Functional Analysis GAFA, 2(1):90–104, 1992.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Competing symmetries, the logarithmic HLS inequality and Onofri’s in- equality on sn.Geometric & Functional Analysis GAFA, 2(1):90–104, 1992

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Observation 510bf583-9e18-458f-a45c-39572b2c6c27 · outbound

This paper cites an unresolved cited work.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

Reference 5

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Observation ab84d93a-bf06-4966-ba58-99075355e10c · outbound

This paper cites On explosions of solutions to a system of partial differential equations modelling chemotaxis.Transactions of the american mathematical society, 329(2):819–824, 1992.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory On explosions of solutions to a system of partial differential equations modelling chemotaxis.Transactions of the american mathematical society, 329(2):819–824, 1992

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T06:07:16.721803Z

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Observation b1ca1947-4a72-47e0-8465-d5c7bf4633c2 · outbound

This paper cites Blow-up of radially symmetric solutions to a chemotaxis system.Adv.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Blow-up of radially symmetric solutions to a chemotaxis system.Adv

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Observation 8d16fd3d-93f7-4edd-ac52-f05cdb87692e · outbound

This paper cites Global behaviour of a reaction-diffusion system modelling chemotaxis.Mathematische Nachrichten, 195(1):77–114, 1998.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Global behaviour of a reaction-diffusion system modelling chemotaxis.Mathematische Nachrichten, 195(1):77–114, 1998

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Observation c8a912ba-2018-4f62-a990-e4371080902f · outbound

This paper cites Bidirectional en- dothelial feedback drives Turing-vascular patterning and drug-resistance niches: a hybrid PDE-agent-based study.Bioengineering, 12(10):1097, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Bidirectional en- dothelial feedback drives Turing-vascular patterning and drug-resistance niches: a hybrid PDE-agent-based study.Bioengineering, 12(10):1097, 2025

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Observation 39b29188-233a-4e51-8dae-edfc80f5b1e9 · outbound

This paper cites From 1970 until present: the Keller–Segel model in chemotaxis and its consequences.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory From 1970 until present: the Keller–Segel model in chemotaxis and its consequences

Reference 10

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Observation 0a143da5-cf64-4741-af57-610cf7ab7692 · outbound

This paper cites Application of an Adams type inequality to a two-chemical substances chemotaxis system.Journal of Differential Equations, 263(1):88–148, 2017.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Application of an Adams type inequality to a two-chemical substances chemotaxis system.Journal of Differential Equations, 263(1):88–148, 2017

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Observation 3b30e771-1e46-4a49-94ee-8335973b9289 · outbound

This paper cites Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production.Journal of the European Mathematical Society (EMS Publishing), 19(12), 2017.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production.Journal of the European Mathematical Society (EMS Publishing), 19(12), 2017

Reference 12

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Observation 6dcb1a60-bc7b-491b-9e7a-03c47938a503 · outbound

This paper cites Algebraic–spectral thresholds and discrete–continuous stability transfer in Leslie–Gower systems.Electronic Research Archive, 34(1):251–290, 2026.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Algebraic–spectral thresholds and discrete–continuous stability transfer in Leslie–Gower systems.Electronic Research Archive, 34(1):251–290, 2026

Reference 13

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Observation 8e1c75b8-6681-4e08-8dc7-47545099af07 · outbound

This paper cites A user’s guide to PDE models for chemotaxis.Journal of mathematical biology, 58(1):183–217, 2009.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory A user’s guide to PDE models for chemotaxis.Journal of mathematical biology, 58(1):183–217, 2009

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Observation cf0e9d2a-0703-4d89-a524-b67186b30bc5 · outbound

This paper cites Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues.Mathematical Models and Methods in Applied Sciences, 25(09):1663–1763, 2015.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues.Mathematical Models and Methods in Applied Sciences, 25(09):1663–1763, 2015

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Observation 36a4db7b-8438-479a-89f2-6e1a0c33dbf7 · outbound

This paper cites Analysis and mean-field limit of a hybrid PDE–ABM modeling angiogenesis-regulated resistance evolution.Mathematics, 13(17):2898, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Analysis and mean-field limit of a hybrid PDE–ABM modeling angiogenesis-regulated resistance evolution.Mathematics, 13(17):2898, 2025

Reference 16

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

Reference 17

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

Reference 18

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Observation 42840d4e-4895-478f-a896-7e1a4bad3f23 · outbound

This paper cites Global well-posedness and stability of nonlocal damage-structured lineage model with feedback and dedifferentiation.Mathematics, 13(22):3583, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Global well-posedness and stability of nonlocal damage-structured lineage model with feedback and dedifferentiation.Mathematics, 13(22):3583, 2025

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Observation 146a8463-3877-4897-b785-456c92723669 · outbound

This paper cites On the stability of critical chemotactic aggregation.Mathematische Annalen, 359(1):267–377, 2014.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory On the stability of critical chemotactic aggregation.Mathematische Annalen, 359(1):267–377, 2014

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Observation 57c82563-e4e0-46c7-a439-e24c9bf195f2 · outbound

This paper cites Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis.Funkc.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis.Funkc

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Observation ddff6d97-90c8-4036-802d-1a23fd5aa697 · outbound

This paper cites Critical mass for the Cauchy problem of a chemotaxis model with indirect signal production mechanism.Journal of Evolution Equations, 25(1):26, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Critical mass for the Cauchy problem of a chemotaxis model with indirect signal production mechanism.Journal of Evolution Equations, 25(1):26, 2025

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Observation 06c114d4-2c54-4b78-b4cd-7f81dc3fdbe7 · outbound

This paper cites Critical mass for a no-flux-Dirichlet chemotaxis model with indirect signal production mecha- nism.Advances in Nonlinear Analysis, 15(1):20250147, 2026.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Critical mass for a no-flux-Dirichlet chemotaxis model with indirect signal production mecha- nism.Advances in Nonlinear Analysis, 15(1):20250147, 2026

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Observation efe06b13-e2aa-40ae-982f-4bbf565a722a · outbound

This paper cites Singular limit of a chemotaxis model with indirect signal pro- duction and phenotype switching.Nonlinearity, 37(10):105007, 2024.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Singular limit of a chemotaxis model with indirect signal pro- duction and phenotype switching.Nonlinearity, 37(10):105007, 2024

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Observation 46e1de11-c0d2-4e7b-a021-31dae59203e7 · outbound

This paper cites Analysis framework for stochastic predator–prey model with demo- graphic noise.Results in Applied Mathematics, 27:100621, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Analysis framework for stochastic predator–prey model with demo- graphic noise.Results in Applied Mathematics, 27:100621, 2025

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Observation caa564e9-0f04-4d77-a6d2-cabc0d370d6d · outbound

This paper cites Critical mass for finite-time chemotactic collapse in the critical dimension via comparison.Nonlinearity, 38(9):095026, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Critical mass for finite-time chemotactic collapse in the critical dimension via comparison.Nonlinearity, 38(9):095026, 2025

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Observation d912e38e-b760-4284-a176-3f471304d639 · outbound

This paper cites Finite-time blowup in a fully parabolic chemotaxis model involving indirect signal production.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Finite-time blowup in a fully parabolic chemotaxis model involving indirect signal production

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Observation acf3bc43-47c4-49ca-bac7-c40776d085d3 · outbound

This paper cites Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production.Applied Mathematics & Optimization, 92(1):10, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production.Applied Mathematics & Optimization, 92(1):10, 2025

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Observation b621676b-22d1-4bf0-96e6-807a5da3e2e9 · outbound

This paper cites A damage-structured PDE model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging.Plos one, 21(2):e0335163, 2026.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory A damage-structured PDE model of stem cell hierarchies: The dual role of dedifferentiation in tissue homeostasis and aging.Plos one, 21(2):e0335163, 2026

Reference 29

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Observation 8874eaa8-6f9a-4ea7-95d0-70976c39cd12 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

Reference 30

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Observation 7b1ef2d8-5329-4c22-b5a1-58fe96209151 · outbound

This paper cites A family of mass-critical Keller–Segel systems.Proceedings of the London Mathematical Society, 124(2):133–181, 2022.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory A family of mass-critical Keller–Segel systems.Proceedings of the London Mathematical Society, 124(2):133–181, 2022

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

Reference 32

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Observation 4e5e0b06-fb9b-4657-a864-bee53d043d70 · outbound

This paper cites Negligibility of haptotaxis on global dynamics in a chemotaxis-haptotaxis system with indirect signal production.Journal of Differential Equations, 409:1–48, 2024.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Negligibility of haptotaxis on global dynamics in a chemotaxis-haptotaxis system with indirect signal production.Journal of Differential Equations, 409:1–48, 2024

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This paper cites Springer Science & Business Media, 2012.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer Science & Business Media, 2012

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer, 2006

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Observation 688788b2-d367-493c-9acc-826e119e9b37 · outbound

This paper cites Springer Science & Business Media, 2012.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer Science & Business Media, 2012

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Observation 566a862f-854d-4292-88e5-970900d4a06d · outbound

This paper cites The breakdown of linear quasi-cycles: De- mographic noise and absorbing boundaries in finite predator–prey systems.Electronic Research Archive, 34(6):4248–4289, 2026.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory The breakdown of linear quasi-cycles: De- mographic noise and absorbing boundaries in finite predator–prey systems.Electronic Research Archive, 34(6):4248–4289, 2026

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Observation 0792db44-1f90-49a6-a4fc-e756caee3a72 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer, 1995

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Observation c47b202b-e221-4f15-bef8-16c09d0d56d7 · outbound

This paper cites Springer, 2016.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer, 2016

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Observation 74d55dd6-6538-4838-9347-8cd1a57234ad · outbound

This paper cites Spatial movement with distributed memory.Journal of Mathe- matical Biology, 82(4), 2021.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Spatial movement with distributed memory.Journal of Mathe- matical Biology, 82(4), 2021

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Observation 9a8352a3-8003-4398-8420-18bb2f4c5230 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Unresolved cited work

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Observation 87e80002-e9b4-4ce5-b685-1d1a7ae38280 · outbound

This paper cites Multi-strategy hybrid improved intelligent algorithm for solving UAV-MTSP.Information Technology and Control, 54(2):413–438, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Multi-strategy hybrid improved intelligent algorithm for solving UAV-MTSP.Information Technology and Control, 54(2):413–438, 2025

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Observation a20fec3c-4244-490a-aa75-352fd6011a5e · outbound

This paper cites Global existence for the Cauchy problem of the parabolic–parabolic–ODE chemotaxis model with indirect signal production on the plane.Mathematics, 13(16):2624, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Global existence for the Cauchy problem of the parabolic–parabolic–ODE chemotaxis model with indirect signal production on the plane.Mathematics, 13(16):2624, 2025

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Observation 94d57775-dbdc-44ed-8762-fa16f831243c · outbound

This paper cites Chemotactic collapse in a parabolic system of mathe- matical biology.Hiroshima Mathematical Journal, 30(3):463–497, 2000.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Chemotactic collapse in a parabolic system of mathe- matical biology.Hiroshima Mathematical Journal, 30(3):463–497, 2000

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This paper cites Rolling prediction model of closing price based on EEMD data noise reduction and HGS-DELM.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Rolling prediction model of closing price based on EEMD data noise reduction and HGS-DELM

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Observation a3044c65-84bc-4674-b7b1-f0cbf7ee21e9 · outbound

This paper cites Dirac-type aggregation with full mass in a chemotaxis model.Discrete and Continuous Dynamical Systems-S, 17(4):1513–1528, 2024.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Dirac-type aggregation with full mass in a chemotaxis model.Discrete and Continuous Dynamical Systems-S, 17(4):1513–1528, 2024

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Observation f01baef2-0cc1-4073-81b2-e4d39ac35043 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory A sharp inequality of J

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Observation cc88a126-1236-4d2a-88d8-edeb3e1f9147 · outbound

This paper cites Elsevier, 2003.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Elsevier, 2003

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Observation 679b764c-899b-4ca5-97c9-071e66bca8a6 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory American Mathematical Soc., 2000

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Observation 126b9ba1-6ae6-4369-816d-28e709d0738c · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Yu and L

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Observation 1b8d2847-5137-4e8b-8575-57d3d299ec2c · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory A classification of solutions of a conformally invariant fourth order equation inRn.Commentarii Mathematici Helvetici, 73(2):206–231, 1998

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Observation 3adae160-c682-4470-b02a-51a5b8fd4f5f · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Classification of solutions to the higher order Liouville’s equation onR2m.Mathematische Zeitschrift, 263(2):307–329, 2009

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Resolution: unresolved; no resolver link, observed 2026-06-29T06:07:16.721803Z

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Observation 74b567a4-81e8-4d44-b553-b599ab117447 · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory American Mathematical Soc., 2001

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Observation a58d515c-6520-4072-91dd-1a015b809d2e · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Sharp Adams-type inequalities inR n.Transactions of the American Mathematical Society, 365(2):645–670, 2013

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Observation fa619212-acaa-4a67-ae1d-fd1afeae37b2 · outbound

This paper cites Finite time blowup for the parabolic–parabolic Keller–Segel system with critical diffusion.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Finite time blowup for the parabolic–parabolic Keller–Segel system with critical diffusion

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Observation d79ed2eb-72d2-4800-bc4a-9cee2c19b36b · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Weak solutions to a parabolic–elliptic system of chemotaxis.Journal of Functional Analysis, 191(1):17–51, 2002

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Observation 63627d05-ec0e-4378-8995-63208bf2d92c · outbound

This paper cites Rigorous analysis of a nonlocal transport–renewal system for physiologically structured populations.Mathematical Methods in the Applied Sciences, 2026.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Rigorous analysis of a nonlocal transport–renewal system for physiologically structured populations.Mathematical Methods in the Applied Sciences, 2026

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Observation 0def6544-16b3-496f-be50-fc1f3b484b45 · outbound

This paper cites Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension.Journal of Differential Equations, 266(2-3):942–976, 2019.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Blowup of solutions to a two-chemical substances chemotaxis system in the critical dimension.Journal of Differential Equations, 266(2-3):942–976, 2019

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Resolution: unresolved; no resolver link, observed 2026-06-29T06:07:16.721803Z

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Observation eb57c8e3-aa55-4296-b463-830eb6876625 · outbound

This paper cites Global existence and boundedness of solutions to a fully parabolic chemotaxis system with indirect signal production inR4.Journal of Differential Equations, 416:2085–2133, 2025.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Global existence and boundedness of solutions to a fully parabolic chemotaxis system with indirect signal production inR4.Journal of Differential Equations, 416:2085–2133, 2025

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Observation 3ce6b91d-11c2-4657-887d-a385898702ca · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Theory of function spaces II.Birkhäuser Verlag, 1992

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Observation d755a8a9-2f20-4214-b43e-af417d274a7f · outbound

This paper cites Number 30.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Number 30

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Observation cde680ec-fe0c-4087-9a70-cf60aa009716 · outbound

This paper cites Pseudodifferential operators.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Pseudodifferential operators

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Observation 3cff7b42-3e83-4682-beb7-f8d00b0af49b · outbound

This paper cites The variational formulation of the Fokker–Planck equation.SIAM journal on mathematical analysis, 29(1):1–17, 1998.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory The variational formulation of the Fokker–Planck equation.SIAM journal on mathematical analysis, 29(1):1–17, 1998

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Observation 1f049338-a1da-446b-acb3-e2d129e7066d · outbound

This paper cites Springer, 2005.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Springer, 2005

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Observation 339a5530-e7c8-4cf1-a2a5-55095a3fcb3b · outbound

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Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory American Mathematical Soc., 1968

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Observation 7e11ceee-e45c-4850-bbbc-5b788174fced · outbound

This paper cites Sharp Adams type inequalities in Sobolev spacesWm, n m (Rn)for arbitrary integerm.Journal of Differential Equations, 253(4):1143–1171, 2012.

Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory Sharp Adams type inequalities in Sobolev spacesWm, n m (Rn)for arbitrary integerm.Journal of Differential Equations, 253(4):1143–1171, 2012

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Pith citing papers

Observation 2173b84e-d7e0-4e5f-9ed0-6933b75e8d30 · inbound

Multiplier Sensitivity in Isoperimetric Optimal Control cites this paper.

Multiplier Sensitivity in Isoperimetric Optimal Control Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory

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Observation d672b5a2-f395-47f0-8957-f81b4ab35fce · inbound

Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation cites this paper.

Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation Structural dichotomy and mass criticality in indirect chemotaxis cascades: fourth-order ellipticity versus Volterra memory

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