Blow Up for Reaction Diffusion Equations Under Dynamical Boundary Conditions†

DOI10.1081/PDE-120019380zbMath1031.35012OpenAlexW2091071277MaRDI QIDQ4805322

Joachim von Below, Gaëlle Pincet Mailly

Publication date: 12 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120019380

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate parabolic equations (35K65)

Related Items (9)

Qualitative study in a parabolic equation with nonstandard growth conditions and singular medium void ⋮ Evolutionary \(p\)-Laplacian with convection and reaction under dynamic boundary condition ⋮ Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up ⋮ Blow up for nonlinear parabolic equations with time degeneracy under dynamical boundary conditions ⋮ Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data ⋮ On a class of degenerate parabolic equations with dynamic boundary conditions ⋮ Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ Schwarz waveform relaxation for heat equations with nonlinear dynamical boundary conditions

Cites Work

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• Blow-up of solutions of nonlinear heat equations
• Quasilinear parabolic systems with dynamical boundary conditions
• Evolution equations with dynamic boundary conditions
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Dynamical interface transition in ramified media with diffusion

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