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Matzoh Ball Soup: Heat Conductors with a Stationary Isothermic Surface
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On the behavior of the fundamental solution of the heat equation with variable coefficients
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Random Perturbations of Dynamical Systems
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On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
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A symmetry problem in potential theory
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The spatial critical points not moving along the heat flow
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When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable?
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Matzoh ball soup: A symmetry result for the heat equation
inferredcites →https://doi.org/10.1007/pl00004713openalex-snapshot
Spatial critical points not moving along the heat flow II: The centrosymmetric case
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On heat conductors with a stationary hot spot
inferredcites →https://doi.org/10.1016/s0294-1449(16)30409-7openalex-snapshot
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities
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Stationary Critical Points of the Heat Flow in Spaces of Constant Curvature
inferredcites →https://doi.org/10.1080/00029890.1982.11995407openalex-snapshot
Mean Curvature, The Laplacian, and Soap Bubbles
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Characterizing spheres by functional relations on solutions of elliptic and parabolic equations
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Some inverse problems of potential theory
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A Physical Characterization of a Sphere
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Matzoh ball soup revisited: the boundary regularity issue
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Short-Time Asymptotics for Game-Theoretic p-Laplacian and Pucci Operators
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Symmetry Problems on Stationary Isothermic Surfaces in Euclidean Spaces
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Stationary isothermic surfaces in Euclidean 3-space
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Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
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Hölder stability for Serrin’s overdetermined problem
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Optimal Concavity of the Torsion Function
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Polygonal heat conductors with a stationary hot spot
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Solutions of elliptic equations with a level surface parallel to the boundary: Stability of the radial configuration
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Two-Phase Heat Conductors with a Surface of the Constant Flow Property
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Rigidity for measurable sets
inferred← citeshttps://doi.org/10.1016/j.anihpc.2009.12.001openalex-snapshot
Nonlinear diffusion with a bounded stationary level surface
inferred← citeshttps://doi.org/10.1016/j.jde.2009.11.017openalex-snapshot
Stationary isothermic surfaces and some characterizations of the hyperplane in the N-dimensional Euclidean space
inferred← citeshttps://doi.org/10.1016/j.matpur.2018.06.020openalex-snapshot
Short-time behavior for game-theoretic p-caloric functions
inferred← citeshttps://doi.org/10.1016/j.matpur.2020.06.007openalex-snapshot
Some characterizations of parallel hyperplanes in multi-layered heat conductors
inferred← citeshttps://doi.org/10.1016/j.matpur.2026.103917openalex-snapshot
Rigidity of an overdetermined heat equation and minimal helicoids in space-forms
inferred← citeshttps://doi.org/10.1016/j.na.2015.06.022openalex-snapshot
The Matzoh Ball Soup Problem: A complete characterization
inferred← citeshttps://doi.org/10.1017/s0308210505001071openalex-snapshot
Interaction between degenerate diffusion and shape of domain
inferred← citeshttps://doi.org/10.1080/00036811.2018.1466283openalex-snapshot
Asymptotics for the resolvent equation associated to the game-theoreticp-laplacian
inferred← citeshttps://doi.org/10.1080/00036811.2020.1750602openalex-snapshot
Small diffusion and short-time asymptotics for Pucci operators
inferred← citeshttps://doi.org/10.1088/0266-5611/28/9/095016openalex-snapshot
An inverse acoustic scattering problem inside a cavity with dynamical back-scattering data
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Stationary isothermic surfaces and uniformly dense domains
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Remarks on the convexity of free boundaries (Scalar and system cases)
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Taylor Expansion for an Analytic Hypersurface in R N
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Approximation theorems for parabolic equations and movement of local hot spots
inferred← citeshttps://doi.org/10.1512/iumj.2007.56.3150openalex-snapshot
Stationary isothermic surfaces for unbounded domains
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A note on Serrin's overdetermined problem
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Matzoh ball soup in spaces of constant curvature
inferred← citeshttps://doi.org/10.48550/arxiv.1306.6673openalex-snapshot
Overdetermined problems for fully nonlinear elliptic equations
inferred← citeshttps://doi.org/10.48550/arxiv.1410.7791openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1501.07531openalex-snapshot
Symmetry and linear stability in Serrin's overdetermined problem via the stability of the parallel surface problem
inferred← citeshttps://doi.org/10.48550/arxiv.1603.04004openalex-snapshot
Two-phase heat conductors with a stationary isothermic surface
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Optimal concavity of the torsion function
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Short time behaviour for game-theoretic $p$-caloric functions
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