Global solvability of nonlinear diffusion equations with forcing at the boundary

DOI10.1006/jmaa.1997.5305zbMath0884.35074OpenAlexW2013627553MaRDI QIDQ1353785

Jeffrey R. Anderson

Publication date: 2 April 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5305

zbMATH Keywords

reaction-diffusion-convection problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)

Related Items (2)

Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities ⋮ Fast-slow diffusion systems with nonlinear boundary conditions

Cites Work

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• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. I
• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. II
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• Some existence and nonexistence theorems for solutions of degenerate parabolic equations
• Global existence for nonlinear diffusion equations
• On solutions of a perturbed fast diffusion equation
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Global Behavior of Positive Solutions to Nonlinear Diffusion Problems with Nonlinear Absorption Through the Boundary

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