Parabolic Liouville-type theorems via their elliptic counterparts

zbMath1306.35066MaRDI QIDQ2257936

Pavol Quittner, Philippe Souplet

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=7122

zbMATH Keywords

Liouville theoremsnonlinear parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure ⋮ Blow-up rate of sign-changing solutions to nonlinear parabolic systems in domains ⋮ Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations ⋮ Blow-up rate of sign-changing solutions to nonlinear parabolic systems ⋮ Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source ⋮ Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems ⋮ An optimal Liouville theorem for the linear heat equation with a nonlinear boundary condition ⋮ Liouville-Type Theorems for Nonlinear Elliptic and Parabolic Problems ⋮ Optimal Liouville-type theorems for a parabolic system ⋮ Nonexistence results for a semilinear heat equation with bounded potentials ⋮ Liouville-type theorems for nonlinear degenerate parabolic equation

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