Paper Citation Record · LEDGER

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.04662.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.04662 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T15:36:17.539304Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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Outbound references

Observation c8360893-1add-442d-a5f7-21c642ab56af · outbound

This paper cites Determining a R iemannian metric from minimal areas.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Determining a R iemannian metric from minimal areas

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation e4294113-b9ac-4330-84e6-3cf8fee7549b · outbound

This paper cites Serrin-type overdetermined problems: an alternative proof.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Serrin-type overdetermined problems: an alternative proof

Reference 2

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Observation 94bbf179-ba26-4cf0-a124-329881ed3511 · outbound

This paper cites C\^arstea, Ali Feizmohammadi, Yavar Kian, Katya Krupchyk, and Gunther Uhlmann.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data C\^arstea, Ali Feizmohammadi, Yavar Kian, Katya Krupchyk, and Gunther Uhlmann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation e3dcb08e-b5bf-4b7f-b4c4-372ed1b59694 · outbound

This paper cites An inverse source problem for the Monge--Ampere equation from large boundary data.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse source problem for the Monge--Ampere equation from large boundary data

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 3eb4ce07-cc36-4a9a-a6e9-a4086d53d8a2 · outbound

This paper cites C\^arstea, Matti Lassas, Tony Liimatainen, and Lauri Oksanen.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data C\^arstea, Matti Lassas, Tony Liimatainen, and Lauri Oksanen

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 6bc44ec4-6fff-47e8-94a6-2291775bb834 · outbound

This paper cites The Calder\'on problem on Riemannian surfaces and of minimal surfaces.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data The Calder\'on problem on Riemannian surfaces and of minimal surfaces

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 207a56cd-0fb3-4e14-b4fe-96e07dd434f2 · outbound

This paper cites Caffarelli, L.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Caffarelli, L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 17cfbf08-0c74-4b3e-8ba6-009e959ab26b · outbound

This paper cites Reconstruction for the coefficients of a quasilinear elliptic partial differential equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Reconstruction for the coefficients of a quasilinear elliptic partial differential equation

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation f1372bd9-e08e-44b2-a7ce-cb59c69c2f9b · outbound

This paper cites A variational theory of the hessian equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data A variational theory of the hessian equation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation adda444f-3376-4976-95df-945189e84ed1 · outbound

This paper cites An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds

Reference 10

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Observation 18cffb02-64ae-4983-af3f-823dbc7fa5c7 · outbound

This paper cites An inverse problem for a semi-linear elliptic equation in R iemannian geometries.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse problem for a semi-linear elliptic equation in R iemannian geometries

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation a556123e-2e59-4bfa-ad18-69fc815a5741 · outbound

This paper cites Trudinger.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Trudinger

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 36e04ca0-ac9d-4440-9e9a-fae3ffa97e04 · outbound

This paper cites The R adon Transform , volume 5 of Progress in Mathematics.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data The R adon Transform , volume 5 of Progress in Mathematics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 640a7a9f-4a0b-47bb-95d8-c3b8f535e471 · outbound

This paper cites On uniqueness in inverse problems for semilinear parabolic equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data On uniqueness in inverse problems for semilinear parabolic equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation fca27724-8001-43f1-b720-5be6ce96f9e8 · outbound

This paper cites Partial data inverse problems for quasilinear conductivity equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Partial data inverse problems for quasilinear conductivity equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation e482f346-9c47-440b-b948-7793e5c472fc · outbound

This paper cites On determining and breaking the gauge class in inverse problems for reaction-diffusion equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data On determining and breaking the gauge class in inverse problems for reaction-diffusion equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 1ac58d51-47ea-4b3c-94be-72ae173cf28d · outbound

This paper cites an unresolved cited work.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 4959ad9d-fcd7-420c-a7d3-375717aafbd8 · outbound

This paper cites Identification of nonlinearity in a conductivity equation via the D irichlet-to- N eumann map.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Identification of nonlinearity in a conductivity equation via the D irichlet-to- N eumann map

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 62a651ad-42aa-40a7-8c2e-69eaf9cfaec2 · outbound

This paper cites Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 13fd7c17-f613-400d-a31d-ad8c8b4d7d0c · outbound

This paper cites A remark on partial data inverse problems for semilinear elliptic equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data A remark on partial data inverse problems for semilinear elliptic equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 269cd142-ca0d-421e-bd05-59089f119b88 · outbound

This paper cites Introduction to inverse problems for non-linear partial differential equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Introduction to inverse problems for non-linear partial differential equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 73050b78-6967-44c1-8307-deb0f46d1f0b · outbound

This paper cites An inverse source problem for a quasilinear elliptic equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse source problem for a quasilinear elliptic equation

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 917ab11b-efff-46a9-9e24-d98734cb8ca6 · outbound

This paper cites Uniqueness results for inverse source problems for semilinear elliptic equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Uniqueness results for inverse source problems for semilinear elliptic equations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 9552ab7b-c222-4ce0-8b07-dae3d600365b · outbound

This paper cites An inverse problem for the M onge- A mp\`ere equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse problem for the M onge- A mp\`ere equation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Unavailable: canonical work link unavailable.

Observation ac331248-c834-41d7-9ec6-d5e224749923 · outbound

This paper cites Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Unavailable: canonical work link unavailable.

Observation 9d0c8ee0-3dd1-401b-ae50-2ec7fd5286af · outbound

This paper cites Inverse problems for elliptic equations with power type nonlinearities.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Inverse problems for elliptic equations with power type nonlinearities

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 5d3341f5-0721-4627-bfd7-56ae188c5212 · outbound

This paper cites Inverse problems for elliptic equations with fractional power type nonlinearities.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Inverse problems for elliptic equations with fractional power type nonlinearities

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation af79fdb2-ea41-45cf-a3af-4eade4a4f80e · outbound

This paper cites An inverse source problem for a fully nonlinear elliptic equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse source problem for a fully nonlinear elliptic equation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Unavailable: canonical work link unavailable.

Observation 803d140d-aaa0-4e39-a54c-1b85c7f2820a · outbound

This paper cites Calder\'{o}n problem for the quasilinear conductivity equation in dimension $2$.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Calder\'{o}n problem for the quasilinear conductivity equation in dimension $2$

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 449a1755-9c56-48cd-9c81-aaf0a998d72a · outbound

This paper cites Nicolaescu.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Nicolaescu

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation ee54c845-d96e-43be-b003-f4ba55f76ec6 · outbound

This paper cites An inverse problem for the minimal surface equation in the presence of a R iemannian metric.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse problem for the minimal surface equation in the presence of a R iemannian metric

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation ea0a7ec8-5fca-40c5-a025-8c0b965d4d23 · outbound

This paper cites On a quasilinear inverse boundary value problem.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data On a quasilinear inverse boundary value problem

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation e42c35b0-3bfc-4fe4-a83e-c3389a64d97c · outbound

This paper cites An inverse boundary-value problem for semilinear elliptic equations.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data An inverse boundary-value problem for semilinear elliptic equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation ce89397f-2632-4b8b-847a-9d4f5d646e96 · outbound

This paper cites Trudinger and Xu-Jia Wang.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data Trudinger and Xu-Jia Wang

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-11T15:36:17.539304Z

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Observation 8541c3a8-5436-47dc-b73a-4069bc211ae4 · outbound

This paper cites The k -hessian equation.

Affine section tomography for inverse source problems in $k$-Hessian equations with restricted large boundary data The k -hessian equation

Reference 35

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