The critical Fujita exponent for the fast diffusion equation with potential

DOI10.1016/J.JMAA.2012.09.050zbMath1258.35025OpenAlexW2053656267MaRDI QIDQ695145

Lizhong Zhao, Chunxiao Yang, Sining Zheng

Publication date: 20 December 2012

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.2012.09.050

zbMATH Keywords

potentialblow-upglobal solutionscritical Fujita exponentfast diffusionquadratically decaying potentialglobal and non-global solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Quasilinear parabolic equations (35K59)

Related Items (6)

The applications of Sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation ⋮ Existence and nonexistence of global solutions for a semilinear reaction-diffusion system ⋮ Global nonexistence of solutions for Caputo fractional differential inequality with singular potential term ⋮ On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source ⋮ The critical Fujita exponent for a diffusion equation with a potential term ⋮ Nonexistence of solutions for the quasilinear parabolic differential inequalities with singular potential term and nonlocal source

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