Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source

DOI10.1137/0522083zbMath0771.35026OpenAlexW1982119393MaRDI QIDQ3982743

Victor A. Galaktionov

Publication date: 26 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0522083

zbMATH Keywords

localizationweak solution of the Cauchy problemintersection methodsnoninvariant blowup solutionnoninvariant explicit solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Optimal Liouville type theorems for porous medium systems with sources ⋮ Extinction for a quasilinear heat equation with absorprtion i. technique of intersection comparison ⋮ Liouville-type theorem for one-dimensional porous medium systems with sources ⋮ Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes ⋮ Numerical solution of a nonlinear reaction diffusion equation ⋮ Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition ⋮ An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations ⋮ Numerical solution of fast diffusion or slow diffusion equations

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