On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

DOI10.1016/S0022-247X(03)00052-0zbMath1028.35080OpenAlexW2091789974MaRDI QIDQ1414201

Wenmei Huang, Jingxue Yin, Yifu Wang

Publication date: 20 November 2003

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(03)00052-0

zbMATH Keywords

blow-upcompatibility conditionssuper-sub-solutions approach

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) Degenerate parabolic equations (35K65)

Related Items (3)

Existence and nonexistence of global solutions for a semilinear reaction-diffusion system ⋮ ASYMPTOTIC BEHAVIOR OF THE BLOW-UP AND GLOBAL EXISTENCE FOR A PARABOLIC EQUATION INVOLVING A CRITICAL EXPONENT ⋮ Critical exponents for the fast diffusion equation with a nonlinear boundary condition

Cites Work

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• Boundedness and blow up for a semilinear reaction-diffusion system
• On a class of similarity solutions of the porous media equation
• Convective porous medium equations with nonlinear forcing at the boundary
• Existence and nonexistence of global solutions of the convective porous medium equations with a nonlinear forcing at the boundary
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• On critical exponents for the heat equation with a nonlinear boundary condition
• Existence and nonexistence of global positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary
• The Role of Critical Exponents in Blowup Theorems

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