Blow-up of solutions of semilinear parabolic equations

DOI10.1016/0022-247X(88)90052-2zbMath0673.35048MaRDI QIDQ1120736

Avner Friedman, Andrew A. Lacey

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

initial valuesblow-upsemilinear parabolic equationsfinite time blow-upsemilinearblow-up of solutionssingle point blow-upinitial-boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

On the blow-up of solutions of a convective reaction diffusion equation, Self-similar subsolutions and blowup for nonlinear parabolic equations, A condition guaranteeing the absence of the blow-up phenomenon for the generalized Burgers equation, Self-similar subsolutions and blow-up for nonlinear parabolic equations, Asymptotic non-stability and blow-up at boundary for solutions of a filtration equation, Numerical solution of fast diffusion or slow diffusion equations, Numerical solution of a fast diffusion equation, Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems

Cites Work

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• Single point blow-up for a semilinear initial value problem
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Nonexistence for the Kassoy problem in dimensions 1 and 2
• Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Nonexistence for the Kassoy Problem