The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms

DOI10.1016/J.JMAA.2006.11.034zbMath1117.35007OpenAlexW2018258312MaRDI QIDQ884387

Xian-zhong Zeng

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.11.034

zbMATH Keywords

sub-solutionblow-upglobal existenceexterior domainsquasi-linear parabolic equationsInhomogeneous type

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (9)

Blow-up and global existence for semilinear parabolic systems with space-time forcing terms ⋮ Fujita phenomenon in inhomogeneous fast diffusion system ⋮ Existence and nonexistence of global positive solutions for a weakly coupled \(P\)-Laplacian system ⋮ Existence and nonexistence of global solutions of the quasilinear parabolic equations with inhomogeneous terms ⋮ Fujita exponent for an inhomogeneous pseudoparabolic equation ⋮ Existence of solutions for an inhomogeneous fractional semilinear heat equation ⋮ Small perturbation of a semilinear pseudo-parabolic equation ⋮ Finite-time blow-up for inhomogeneous parabolic equations with nonlinear memory ⋮ FUJITA CRITICAL CURVE FOR A COUPLED DIFFUSION SYSTEM WITH INHOMOGENEOUS NEUMANN BOUNDARY CONDITIONS∗

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