Blowup of solutions to a porous medium equation with nonlocal boundary condition

DOI10.1016/j.amc.2007.03.036zbMath1193.35097OpenAlexW2128500062MaRDI QIDQ990560

Zhaoyin Xiang, Yulan Wang, Chun-Lai Mu

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.036

zbMATH Keywords

global existenceporous medium equationblow upnonlocal boundary conditionblowup rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57)

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Cites Work

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• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• A decreasing property of solutions of parabolic equations with applications to thermoelasticity
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• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Comparison principle for some nonlocal problems
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• Some Exact Solutions to the Equations of Nonlinear Thermoelasticity
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