A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations

DOI10.1016/J.AML.2006.01.012zbMath1179.35082OpenAlexW2080465152MaRDI QIDQ1031728

Rong-Nian Wang, Jin Liang, Ti-Jun Xiao

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.012

zbMATH Keywords

comparison principlefully nonlinear parabolic equationsnonlocal boundary conditionscoupled system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Comparison principles in context of PDEs (35B51) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

On a comparison principle for delay coupled systems with nonlocal and nonlinear boundary conditions ⋮ On comparison principles for parabolic equations with nonlocal boundary conditions

Cites Work

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• On a class of parabolic equations with nonlocal boundary conditions
• Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
• Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions.
• Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions
• A decreasing property of solutions of parabolic equations with applications to thermoelasticity
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Dynamics of reaction-diffusion equations with nonlocal boundary conditions

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