Critical exponent for the parabolic equation u \(t = \delta u ^m + h (t)u ^p\) in a cone

DOI10.1007/S10114-012-0026-2zbMath1251.35008OpenAlexW1968416944MaRDI QIDQ1757941

Song Zhe Lian, Chein-Shan Liu

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0026-2

zbMATH Keywords

conecritical exponentporous medium equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (1)

Harnack estimates for a kind of porous medium equation

Cites Work

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• The value of the critical exponent for reaction-diffusion equations in cones
• On the critical exponent for reaction-diffusion equations
• Blow-up of solutions of semilinear parabolic differential equations
• Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation
• Nonexistence of solutions for parabolic inequalities in unbounded cone-like domains via the test function method.
• A critical behavior for some semilinear parabolic equations involving sign changing solutions
• Existence of sign-changing solutions for the \(p\)-Laplacian equation from linking type theorem
• A note on nonexistence of global solutions to a nonlinear integral equation
• Blow-up results for nonlinear parabolic equations on manifolds
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
• The Role of Critical Exponents in Blowup Theorems
• Criticality for some evolution equations

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