Nonlinear diffusion with a bounded stationary level surface

DOI10.1016/j.anihpc.2009.12.001zbMath1194.35209arXiv0902.1929OpenAlexW3105873100MaRDI QIDQ975298

Shigeru Sakaguchi, Rolando Magnanini

Publication date: 9 June 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1929

zbMATH Keywords

nonlinear diffusion equationoverdetermined problemsstationary level surfacessymmetry result

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Higher-order parabolic equations (35K25) Quasilinear parabolic equations (35K59)

Related Items (14)

Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration ⋮ Symmetry and quantitative stability for the parallel surface fractional torsion problem ⋮ Optimal concavity of the torsion function ⋮ 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 ⋮ Short-time asymptotics for game-theoretic \(p\)-Laplacian and Pucci operators ⋮ Interaction between nonlinear diffusion and geometry of domain ⋮ 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 ⋮ Remarks on the convexity of free boundaries (Scalar and system cases) ⋮ Matzoh ball soup revisited: the boundary regularity issue

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