Existence and nonexistence of global positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary

DOI10.1090/S0002-9947-97-01864-3zbMath0879.35084MaRDI QIDQ3127570

Yonghui Wu, Mingxin Wang

Publication date: 9 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsblow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65)

Related Items (4)

Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux ⋮ Classical solutions to the one‐dimensional logarithmic diffusion equation with nonlinear Robin boundary conditions ⋮ On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition ⋮ Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions

Cites Work

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• Regularity properties of flows through porous media: The interface
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• Analysis of a Convective Reaction-Diffusion Equation II
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions
• Regularity Properties of Flows Through Porous Media: A Counterexample

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