The reaction-diffusion equation with Lewis function and critical Sobolev exponent

DOI10.1016/S0022-247X(02)00166-XzbMath1015.35017OpenAlexW2026603878MaRDI QIDQ1851313

Zhong Tan

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00166-x

zbMATH Keywords

nonlinear parabolic equationblow-upglobal existencehomogeneous Dirichlet boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33)

Related Items

On the heat flow of equation of \(H\)-surface, Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity, Global nonexistence for a quasilinear evolution equation with a generalized Lewis function, Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition, Blow-up results for a nonlinear hyperbolic equation with Lewis function, A sufficient condition for blow up solutions of nonlinear heat equations

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