When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable?

DOI10.1007/BF02791135zbMath0939.35014OpenAlexW2054490728MaRDI QIDQ1808879

Shigeru Sakaguchi

Publication date: 26 June 2000

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02791135

zbMATH Keywords

symmetryNeumann boundary conditionporous medium equationinvariance of level sets

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ The Matzoh Ball Soup Problem: a complete characterization ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies

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