Matzoh ball soup revisited: the boundary regularity issue
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Publication:2857537
DOI10.1002/mma.1551zbMath1279.35062arXiv1103.6229OpenAlexW2157659291MaRDI QIDQ2857537
Shigeru Sakaguchi, Rolando Magnanini
Publication date: 4 November 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.6229
Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear parabolic equations (35K59)
Related Items (10)
Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration ⋮ Stationary isothermic surfaces in Euclidean 3-space ⋮ Small diffusion and short-time asymptotics for Pucci operators ⋮ Short-time behavior for game-theoretic \(p\)-caloric functions ⋮ When does the heat equation have a solution with a sequence of similar level sets? ⋮ The Matzoh Ball Soup Problem: a complete characterization ⋮ Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies ⋮ Hölder stability for Serrin's overdetermined problem ⋮ Asymptotics for the resolvent equation associated to the game-theoretic p-laplacian ⋮ Symmetry Problems on Stationary Isothermic Surfaces in Euclidean Spaces
Cites Work
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- Interaction between nonlinear diffusion and geometry of domain
- Matzoh ball soup: A symmetry result for the heat equation
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- Matzoh ball soup: Heat conductors with a stationary isothermic surface
- Characterizing spheres by functional relations on solutions of elliptic and parabolic equations
- Interaction between degenerate diffusion and shape of domain
- Stationary isothermic surfaces for unbounded domains
- Diffusion processes in a small time interval
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