The blow-up time for higher order semilinear parabolic equations with small leading coefficients

DOI10.1016/0022-0396(88)90138-6zbMath0676.35047OpenAlexW1999617544MaRDI QIDQ1122704

Avner Friedman, Luc Oswald

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90138-6

zbMATH Keywords

blow upsemilinearconvergence of higher order derivativessmall leading coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for higher-order parabolic equations (35K35) 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 (9)

B-method approach to blow-up solutions of fourth-order semilinear parabolic equations ⋮ Sufficient conditions and bounds estimate of blow-up time for a fourth order parabolic equation ⋮ A nonlinear nonlocal wave equation arising in combustion theory ⋮ An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations ⋮ Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion ⋮ Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Blow-up estimates for a higher-order reaction-diffusion equation with a special diffusion process ⋮ Blow-up phenomena for a class of fourth-order parabolic problems

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Problems paraboliques semi-lineaires avec donnees measures
• The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion
• The Blow-up Surface for Nonlinear Wave Equations with Small Spatial Velocity
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