The critical Fujita exponent for a diffusion equation with a potential term

DOI10.1007/s10986-014-9236-xzbMath1335.35093OpenAlexW1973809253MaRDI QIDQ2257500

Chein-Shan Liu

Publication date: 25 February 2015

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-014-9236-x

zbMATH Keywords

conediffusion equationcritical exponent

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33)

Related Items (4)

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 ⋮ Nonexistence of solutions for the quasilinear parabolic differential inequalities with singular potential term and nonlocal source ⋮ Global existence and nonexistence of solutions for Newtonian filtration equation

Cites Work

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• The critical Fujita exponent for the fast diffusion equation with potential
• The value of the critical exponent for reaction-diffusion equations in cones
• The Fujita exponent for semilinear heat equations with quadratically decaying potential or in an exterior domain
• Nonexistence of solutions for parabolic inequalities in unbounded cone-like domains via the test function method.
• On the existence and nonexistence of global solutions for the porous medium equation with strongly nonlinear sources in a cone
• On the Fujita exponent for a semilinear heat equation with a potential term

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