Qualitative properties of solutions to semilinear heat equations

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zbMath0603.35054MaRDI QIDQ1082539

Bernhard Kawohl

Publication date: 1986

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

asymptotic behavior symmetrization smoothing properties blow up shape preservation contractivity semilinear heat equations Ljapunov functionals

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces ⋮ Gradient estimates for solutions of parabolic equations and systems ⋮ Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group ⋮ Semiconvexity of Viscosity Solutions to Fully Nonlinear Evolution Equations via Discrete Games

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