Paper Citation Record · LEDGER

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements

As of 23 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2504.19421.

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pith.paper-citation-record.v1
2504.19421 v1

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measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T06:02:05.151404Z

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

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38 of 38 outbound references displayed

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verified fuzzy31
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External citation measurements

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Outbound references

Observation 765c67e4-6b95-4537-a920-a55c04a89953 · outbound

This paper cites R econstruction of extended sources with small supports in the elliptic equation ∆ u +µu =F from a single Cauchy data.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements R econstruction of extended sources with small supports in the elliptic equation ∆ u +µu =F from a single Cauchy data

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.793593Z

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Observation 73e1d1ce-d27a-4056-a34c-19bac1c14e95 · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.776360Z

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Observation fb4d2ded-5029-4de1-8a97-75e34e6caeae · outbound

This paper cites Arridge and John C.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Arridge and John C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.760219Z

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Observation c0bc0f3c-967a-4170-917b-774a11c0d9fa · outbound

This paper cites Bagtzoglou.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Bagtzoglou

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.744403Z

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Observation 09b09ef8-3a82-4a78-9405-787f6f2b2a0e · outbound

This paper cites El Badia, T.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements El Badia, T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.729453Z

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Observation 951fa17d-b4ee-4623-9484-123b48734b57 · outbound

This paper cites El Badia, A.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements El Badia, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.713666Z

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Observation 28e6ac8e-d2c1-4be1-a1d8-34e53912c956 · outbound

This paper cites Stability for the invers e source problems in elastic and electromagnetic waves.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Stability for the invers e source problems in elastic and electromagnetic waves

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.697658Z

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Observation 04057a9d-c7f7-4e51-921c-4be126a71238 · outbound

This paper cites Lead isoto pe geochemistry of the urban environment in the pearl river delta.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Lead isoto pe geochemistry of the urban environment in the pearl river delta

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.679470Z

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Observation 56071530-a1e5-4a25-992f-de4bedd7f199 · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.663524Z

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Observation 23ab45de-fb7b-4d0b-b255-68dfa9b0851e · outbound

This paper cites Stochastic co nvergence of a nonconform- ing ﬁnite element method for the thin plate spline smoother f or observational data.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Stochastic co nvergence of a nonconform- ing ﬁnite element method for the thin plate spline smoother f or observational data

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.648381Z

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Observation c08f82a2-470d-477b-a85c-f14151f1887c · outbound

This paper cites Stochastic co nvergence of regularized solutions and their ﬁnite element approximations to invers e source problems.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Stochastic co nvergence of regularized solutions and their ﬁnite element approximations to invers e source problems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.631324Z

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Observation a35b9553-0375-4443-b623-3e3acc9e8a07 · outbound

This paper cites Continuation of solut ions to elliptic and parabolic equations on hyperplanes and application to inverse source problems.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Continuation of solut ions to elliptic and parabolic equations on hyperplanes and application to inverse source problems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.613853Z

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Observation c6ba9a77-84da-4882-a05f-67f216cec663 · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.598697Z

Source-reported events for the cited work

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Observation 0103a2b5-6290-421a-bc9a-896a520d613b · outbound

This paper cites An inverse source p roblem for Helmholtz’s equa- tion from the Cauchy data with a single wave number.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements An inverse source p roblem for Helmholtz’s equa- tion from the Cauchy data with a single wave number

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.583025Z

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Observation 3e48db48-7d7c-45aa-8863-84142869f5dc · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.566590Z

Source-reported events for the cited work

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Observation a3614bec-c545-4ba8-bd08-f4d626265a81 · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.550460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7d43d90e-1b15-46b6-a0d2-be481203caad · outbound

This paper cites Application of the general ized multiscale ﬁnite element method in an inverse random source problem.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Application of the general ized multiscale ﬁnite element method in an inverse random source problem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.535885Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c63c3e77-52fd-4eca-9089-85b91a8c9d5c · outbound

This paper cites Garcia, Axel Osses, and Marcelo Tapia.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Garcia, Axel Osses, and Marcelo Tapia

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.520873Z

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Observation fa61154a-6912-4e81-92e6-8c3b10c6a822 · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.505561Z

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Observation 4c57f0f2-0632-42cb-99a2-7ec3b9276908 · outbound

This paper cites Gorelick, Barbara Evans, and Irwin Remson.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Gorelick, Barbara Evans, and Irwin Remson

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.489470Z

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Observation d76216a8-9c6a-4536-a73b-315aa3d7dbc0 · outbound

This paper cites Inverse source problems, volume 34 of Mathematical Surveys and Mono- graphs.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Inverse source problems, volume 34 of Mathematical Surveys and Mono- graphs

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.472747Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 51d8ab17-85c7-4cdc-b4ff-74359f5cc241 · outbound

This paper cites Inverse problems for partial diﬀerential equations , volume 127 of Applied Mathematical Sciences.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Inverse problems for partial diﬀerential equations , volume 127 of Applied Mathematical Sciences

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.456287Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 95000636-c75d-4b1b-b3be-f7e704544f34 · outbound

This paper cites A thr ee-dimensional inverse gravimetry problem for ice with snow caps.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements A thr ee-dimensional inverse gravimetry problem for ice with snow caps

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.439422Z

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Observation 41329c8c-058f-47bc-a0d1-e258fac3e0e4 · outbound

This paper cites On the inverse source proble m with boundary data at many wave numbers.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements On the inverse source proble m with boundary data at many wave numbers

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.423233Z

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Observation ec4e76d9-62ae-47dc-b1d0-e941888265bc · outbound

This paper cites Coerc ivity-based analysis and its application to an inverse source problem for a subdiﬀusi on equation with time- dependent principal parts.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Coerc ivity-based analysis and its application to an inverse source problem for a subdiﬀusi on equation with time- dependent principal parts

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.408210Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 34e425cd-9e7e-455f-9d54-c4a2c2e65966 · outbound

This paper cites Well-pose dness of the stochastic time- fractional diﬀusion and wave equations and inverse random s ource problems.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Well-pose dness of the stochastic time- fractional diﬀusion and wave equations and inverse random s ource problems

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.393008Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bdcacb11-4a45-48d2-9923-4d019a503b62 · outbound

This paper cites Inverse source pro blems for the stochastic wave equations: far-ﬁeld patterns.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Inverse source pro blems for the stochastic wave equations: far-ﬁeld patterns

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.377733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 75ada0b9-7e84-4957-9ac3-755169285a6b · outbound

This paper cites Rest oring the discontinu- ous heat equation source using sparse boundary data and dyna mic sensors.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Rest oring the discontinu- ous heat equation source using sparse boundary data and dyna mic sensors

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.360947Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8430cad6-f480-4041-8ed0-6a299a9361fa · outbound

This paper cites Theoretic al and numerical studies of inverse source problem for the linear parabolic equation wi th sparse boundary measure- ments.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Theoretic al and numerical studies of inverse source problem for the linear parabolic equation wi th sparse boundary measure- ments

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.344844Z

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Observation 857d2646-7783-44f9-8577-160dc4a8515a · outbound

This paper cites An integral equation method to recover non-additive and non-separable heat source without initial temperature.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements An integral equation method to recover non-additive and non-separable heat source without initial temperature

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.328224Z

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Observation fce8b79a-36d5-4fc9-ab87-0e1b370842ce · outbound

This paper cites On ﬂuorescence imaging: The diﬀusion equation model and recov ery of the absorption coeﬃcient of ﬂuorophores.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements On ﬂuorescence imaging: The diﬀusion equation model and recov ery of the absorption coeﬃcient of ﬂuorophores

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.310603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 44131c89-cbc8-4bb9-9a9a-242a83a44068 · outbound

This paper cites NELSON and S.H.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements NELSON and S.H

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.294259Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cc9a455b-3061-4a15-94b9-d864213b80e2 · outbound

This paper cites On the identiﬁcatio n of source term in the heat equation from sparse data.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements On the identiﬁcatio n of source term in the heat equation from sparse data

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.276841Z

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Observation 084d2bb0-7947-49c1-849b-49ce2c838806 · outbound

This paper cites Uniqueness and numeric al inversion in the time- domain ﬂuorescence diﬀuse optical tomography.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Uniqueness and numeric al inversion in the time- domain ﬂuorescence diﬀuse optical tomography

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.259473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f3c5837a-1512-42aa-89c4-5f4552e6263b · outbound

This paper cites an unresolved cited work.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T06:02:05.244094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d17387a8-d162-451e-a08a-2de0fb111cdc · outbound

This paper cites van der Vaart and J.A.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements van der Vaart and J.A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.226477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0c27d16e-d947-4ed3-a71f-29091fe2a167 · outbound

This paper cites Stability for a mu lti-frequency inverse random source problem.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Stability for a mu lti-frequency inverse random source problem

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.209857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dfdf0fd4-b547-4704-9f4b-90c05c2ff68f · outbound

This paper cites Imaging an acoustic o bstacle and its excitation sources from phaseless near-ﬁeld data.

Quantitative estimates for a nonlinear inverse source problem in a coupled diffusion equations with uncertain measurements Imaging an acoustic o bstacle and its excitation sources from phaseless near-ﬁeld data

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T06:02:05.192413Z

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