Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions

DOI10.1080/00036811.2011.598865zbMath1255.35059OpenAlexW2092256916WikidataQ58176765 ScholiaQ58176765MaRDI QIDQ4650246

G. A. Philippin, Lawrence E. Payne

Publication date: 27 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.598865

zbMATH Keywords

blow-upparabolic problemsbounds for the blow-up time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44)

Related Items (18)

Reaction-diffusion problems under non-local boundary conditions with blow-up solutions ⋮ Blow-up results of the positive solution for a class of degenerate parabolic equations ⋮ Unnamed Item ⋮ On the blow-up of solutions to a fourth-order pseudoparabolic equation ⋮ Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions ⋮ Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux ⋮ Blow-up phenomena for a reaction-diffusion equation with nonlocal gradient terms ⋮ Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions ⋮ Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions ⋮ Existence and nonexistence of solutions of the reaction-diffusion equation with Robin boundary condition ⋮ Blow-up in \(p\)-Laplacian heat equations with nonlinear boundary conditions ⋮ Solvability and long time behavior of nonlinear reaction-diffusion equations with Robin boundary condition ⋮ Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux ⋮ Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions ⋮ Dynamic properties of the \(p\)-Laplacian reaction-diffusion equation in multi-dimensional space ⋮ Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space ⋮ Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions ⋮ Asymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Condition

Cites Work

• Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
• Existence and non-existence of global solutions for a semilinear heat equation
• Blowup in diffusion equations: A survey
• Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions
• Blow-up phenomena in parabolic problems with time-dependent coefficients under Neumann boundary conditions
• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• The Role of Critical Exponents in Blowup Theorems
• Explosive Instabilities in Mechanics
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