Blow-up of solutions with sign changes for a semilinear diffusion equation

DOI10.1006/jmaa.1996.0436zbMath0869.35055OpenAlexW2059527579MaRDI QIDQ1353515

Noriko Mizoguchi, Eiji Yanagida

Publication date: 29 April 1997

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

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0436

zbMATH Keywords

initial-boundary value problem

Mathematics Subject Classification ID

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

Related Items (8)

Critical exponent for the bipolar blowup in a semilinear parabolic equation ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions ⋮ Global existence and blow-up for a class of nonlinear reaction diffusion problems ⋮ Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain ⋮ Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II ⋮ Blow-up of sign-changing solutions for a one-dimensional nonlinear diffusion equation ⋮ Integral inequalities and global solutions of semilinear evolution equations

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