A degenerate nonlinear diffusion system with boundary feedbackδ

DOI10.1080/00036818708839669zbMath0601.35056OpenAlexW2052338515MaRDI QIDQ3736163

Lucia Maddalena, Vincenzo Capasso

Publication date: 1987

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818708839669

zbMATH Keywords

comparisonexistenceuniquenessasymptotic stabilitynonlinear boundary conditionsemilinear parabolic equationequilibrium solutionnonlinear degenerate parabolic equationepidemic systemintegral boundary feedback

Mathematics Subject Classification ID

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Cites Work

• Comparison and existence theorems for multicomponent diffusion systems
• Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
• Large time behaviour of solutions of the porous medium equation in bounded domains
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Existence of global solution for reaction-diffusion systems with density dependent diffusion
• Decay of solutions of a degenerate nonlinear diffusion equation
• Continuity of solutions of a singular parabolic equation
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