Necessary and sufficient conditions for the unique solvability of a nonlinear reaction-diffusion model

DOI10.1006/JMAA.1998.6165zbMath0921.35076OpenAlexW2053335967MaRDI QIDQ1276361

Jeffrey R. Anderson

Publication date: 27 January 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6165

zbMATH Keywords

fast diffusion model

Mathematics Subject Classification ID

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

Related Items (2)

Extinction and decay estimates of solutions for a class of porous medium equations ⋮ On the unique solvability of a nonlinear reaction-diffusion model with convection

Cites Work

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• Some existence and nonexistence theorems for solutions of degenerate parabolic equations
• A comparison principle for the porous media equation with absorption
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• On solutions of a perturbed fast diffusion equation
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations

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