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A partial solution of the Pompeiu problem
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/9783527617210openalex-snapshot
Methods of Mathematical Physics
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Linear Partial Differential Operators
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Linear Partial Differential Operators
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A symmetry problem in potential theory
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Methods of Mathematical Physics, Volume I. R. Courant and D. Hilbert. Interscience Publishers Inc., New York. 550 pp. Index. 75s. net.
inferredcites →https://doi.org/10.1063/1.3061619openalex-snapshot
Methods of Mathematical Physics, Vol. I
inferredcites →https://doi.org/10.1090/cbms/097/10openalex-snapshot
Linear partial differential equations with constant coefficients
inferredcites →https://doi.org/10.1090/chel/368openalex-snapshot
Analytic Functions of Several Complex Variables
inferredcites →https://doi.org/10.2307/2313472openalex-snapshot
Analytic Functions of Several Complex Variables.
inferredcites →https://doi.org/10.2307/2372830openalex-snapshot
On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
inferredcites →https://doi.org/10.5802/aif.474openalex-snapshot
Spectral synthesis and the Pompeiu problem
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities
inferred← citeshttps://doi.org/10.1007/0-387-33006-2_4openalex-snapshot
One Hundred Years Since the Introduction of the Set Distance by Dimitrie Pompeiu
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Complex Analysis and Convolution Equations
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A Bibliographic Survey of the Pompeiu Problem
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Geometry of Light Wave Fronts
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A duality theorem for an overdetermined eigenvalue problem
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Saddle points and overdetermined problems for the Helmholtz equation
inferred← citeshttps://doi.org/10.1007/bf01456832openalex-snapshot
A note on the Pompeiu problem for convex domains
inferred← citeshttps://doi.org/10.1007/bf01571095openalex-snapshot
On the Pompeiu problem and its generalizations
inferred← citeshttps://doi.org/10.1007/bf01783689openalex-snapshot
Stability of the convex Pompeiu sets
inferred← citeshttps://doi.org/10.1007/bf02797683openalex-snapshot
An inverse spectral theorem and its relation to the Pompeiu problem
inferred← citeshttps://doi.org/10.1007/bf02820458openalex-snapshot
Asymptotic expansions for a class of Fourier integrals and applications to the Pompeiu problem
inferred← citeshttps://doi.org/10.1007/bf03041072openalex-snapshot
The Pompeiu Problem on locally symmetric spaces
inferred← citeshttps://doi.org/10.1007/s00033-026-02790-0openalex-snapshot
High dimension Weinstein conjecture and its application to Schiffer conjecture
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Heat flow, heat content and the isoparametric property
inferred← citeshttps://doi.org/10.1007/s00454-022-00467-9openalex-snapshot
An Identity Theorem for the Fourier–Laplace Transform of Polytopes on Nonzero Complex Multiples of Rationally Parameterizable Hypersurfaces
inferred← citeshttps://doi.org/10.1007/s00526-013-0637-1openalex-snapshot
Stability results for the $$N$$ N -dimensional Schiffer conjecture via a perturbation method
inferred← citeshttps://doi.org/10.1007/s00526-018-1434-7openalex-snapshot
Geometric rigidity of constant heat flow
inferred← citeshttps://doi.org/10.1007/s10476-024-00054-5openalex-snapshot
Curves in the Fourier zeros of polytopal regions and the Pompeiu problem
inferred← citeshttps://doi.org/10.1007/s11118-022-10054-5openalex-snapshot
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena
inferred← citeshttps://doi.org/10.1007/s11253-009-0195-zopenalex-snapshot
On one extremal problem of Pompeiu sets
inferred← citeshttps://doi.org/10.1007/s11854-020-0146-zopenalex-snapshot
Some results related to Schiffer’s problem
inferred← citeshttps://doi.org/10.1007/s11854-023-0290-3openalex-snapshot
The null set of a polytope, and the Pompeiu property for polytopes
inferred← citeshttps://doi.org/10.1007/s11854-025-0429-5openalex-snapshot
A short note on Schiffer’s conjecture for a class of centrally symmetric convex domains in ℝ2
inferred← citeshttps://doi.org/10.1007/s40316-024-00240-9openalex-snapshot
Some remarks on critical sets of Laplace eigenfunctions
inferred← citeshttps://doi.org/10.1007/s42985-024-00283-1openalex-snapshot
Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
inferred← citeshttps://doi.org/10.1016/j.jde.2006.08.020openalex-snapshot
Symmetry theorems for the overdetermined eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.jde.2013.04.027openalex-snapshot
Geometry and topology of some overdetermined elliptic problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.07.099openalex-snapshot
Rellich type identities for eigenvalue problems and application to the Pompeiu problem
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.130630openalex-snapshot
Scattering in corner domains with anisotropic inhomogeneities: the degenerate Bernoulli case
inferred← citeshttps://doi.org/10.1016/j.matpur.2020.09.004openalex-snapshot
Influence of the hidden regularity on the stability of partially damped systems of wave equations
inferred← citeshttps://doi.org/10.1016/j.na.2010.01.023openalex-snapshot
Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations
inferred← citeshttps://doi.org/10.1016/s0022-247x(02)00300-1openalex-snapshot
Boundary regularity for a family of overdetermined problems for the Helmholtz equation
inferred← citeshttps://doi.org/10.1016/s0924-6509(08)70015-1openalex-snapshot
Linear functional equations
inferred← citeshttps://doi.org/10.1051/cocv:2008024openalex-snapshot
Unique continuation property near a corner and its fluid-structure controllability consequences
inferred← citeshttps://doi.org/10.1051/proc:1997007openalex-snapshot
A new approach to two overdetermined eigenvalue problems of Pompeiu type
inferred← citeshttps://doi.org/10.1070/sm1994v079n02abeh003500openalex-snapshot
NEW THEOREMS ON THE MEAN FOR SOLUTIONS OF THE HELMHOLTZ EQUATION
inferred← citeshttps://doi.org/10.1070/sm1997v188n09abeh000255openalex-snapshot
Solution of the support problem for several function classes
inferred← citeshttps://doi.org/10.1080/03605309308820938openalex-snapshot
Another step toward the solution of the pompeiu problem in the plane
inferred← citeshttps://doi.org/10.1088/0266-5611/15/3/301openalex-snapshot
Some results about Schiffer's conjectures
inferred← citeshttps://doi.org/10.1090/bproc/124openalex-snapshot
The two-sided Pompeiu problem for discrete groups
inferred← citeshttps://doi.org/10.1090/s0002-9947-1991-0994165-xopenalex-snapshot
New Results on the Pompeiu Problem
inferred← citeshttps://doi.org/10.1090/s0002-9947-1994-1242782-7openalex-snapshot
The Cauchy problem in 𝐶^{𝑁} for linear second order partial differential equations with data on a quadric surface
inferred← citeshttps://doi.org/10.1090/s0002-9947-99-02533-7openalex-snapshot
A new result on the Pompeiu problem
inferred← citeshttps://doi.org/10.1134/s0001434610010086openalex-snapshot
Sets with the Pompeiu property on the plane and on the sphere
inferred← citeshttps://doi.org/10.1142/s0219199726400055openalex-snapshot
Transmission eigenvalues and non-scattering
inferred← citeshttps://doi.org/10.11606/t.45.2021.tde-28042022-161312openalex-snapshot
Applications of harmonic analysis to discrete geometry
inferred← citeshttps://doi.org/10.11650/twjm/1500405199openalex-snapshot
POMPEIU PROBLEM FOR SETS OF HIGHER CODIMENSION IN EUCLIDEAN AND HEISENBERG SETTINGS
inferred← citeshttps://doi.org/10.1215/00127094-2024-0054openalex-snapshot
A Schiffer-type problem for annuli with applications to stationary planar Euler flows
inferred← citeshttps://doi.org/10.1215/s0012-7094-93-07106-2openalex-snapshot
Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem
inferred← citeshttps://doi.org/10.1215/s0012-7094-94-07323-7openalex-snapshot
Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem
inferred← citeshttps://doi.org/10.1515/crelle-2023-0059openalex-snapshot
Sign-changing solution for an overdetermined elliptic problem on unbounded domain
inferred← citeshttps://doi.org/10.2140/pjm.1995.171.89openalex-snapshot
Holomorphy tests based on Cauchy’s integral formula
inferred← citeshttps://doi.org/10.2977/prims/19openalex-snapshot
An Overdetermined Problem for an Elliptic Equation
inferred← citeshttps://doi.org/10.3934/mine.2023031openalex-snapshot
Isoparametric foliations and the Pompeiu property
inferred← citeshttps://doi.org/10.4064/ap84-1-6openalex-snapshot
A uniqueness result for an inverse problem
inferred← citeshttps://doi.org/10.4171/ifb/515openalex-snapshot
A minimization problem with free boundary and its application to inverse scattering problems
inferred← citeshttps://doi.org/10.4171/rmi/304openalex-snapshot
Morera type problems in Clifford analysis
inferred← citeshttps://doi.org/10.4213/mzm5158openalex-snapshot
Множества со свойством Помпейю на плоскости и сфере
inferred← citeshttps://doi.org/10.4213/sm255openalex-snapshot
Решение проблемы носителя для некоторых классов функций
inferred← citeshttps://doi.org/10.4310/cag.1993.v1.n4.a2openalex-snapshot
Perturbation of domains in the Pompeiu problem
inferred← citeshttps://doi.org/10.48550/arxiv.0712.2753openalex-snapshot
Solution of the Pompeiu problem (II)
inferred← citeshttps://doi.org/10.48550/arxiv.1406.2835openalex-snapshot
Heat flow, heat content and the isoparametric property
inferred← citeshttps://doi.org/10.48550/arxiv.2108.13706openalex-snapshot
Isoparametric foliations and the Pompeiu problem
inferred← citeshttps://doi.org/10.48550/arxiv.math/0012077openalex-snapshot
On shape optimization and the Pompeiu problem
inferred← citeshttps://doi.org/10.5802/aif.1429openalex-snapshot
An inverse problem for the equation ▵ u = - c u - d
inferred← citeshttps://doi.org/10.5802/jedp.685openalex-snapshot
Schiffer-type problems and nonradial stationary Euler flows with compact support
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