Stationary isothermic surfaces for unbounded domains

DOI10.1512/iumj.2007.56.3150zbMath1140.35460OpenAlexW2012862754MaRDI QIDQ5452327

Shigeru Sakaguchi, Rolando Magnanini

Publication date: 26 March 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2007.56.3150

zbMATH Keywords

invariant spatial level surface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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Small diffusion and short-time asymptotics for Pucci operators ⋮ Short-time behavior for game-theoretic \(p\)-caloric functions ⋮ The Matzoh Ball Soup Problem: a complete characterization ⋮ Interaction between nonlinear diffusion and geometry of domain ⋮ Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies ⋮ Nonlinear diffusion with a bounded stationary level surface ⋮ Stationary isothermic surfaces and some characterizations of the hyperplane in the \(N\)-dimensional Euclidean space ⋮ Asymptotics for the resolvent equation associated to the game-theoretic p-laplacian ⋮ Symmetry Problems on Stationary Isothermic Surfaces in Euclidean Spaces ⋮ Stationary isothermic surfaces and uniformly dense domains ⋮ Remarks on the convexity of free boundaries (Scalar and system cases) ⋮ Matzoh ball soup revisited: the boundary regularity issue

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