On the unique solvability of a nonlinear reaction-diffusion model with convection

DOI10.1006/jmaa.2000.7290zbMath0997.35033OpenAlexW2083982087MaRDI QIDQ5934255

Jeffrey R. Anderson

Publication date: 15 September 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7290

zbMATH Keywords

Cauchy-Dirichlet problemPerron methodmaximal solution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• A comparison principle for the porous media equation with absorption
• Properties of solutions of an equation in the theory of infiltration
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Necessary and sufficient conditions for the unique solvability of a nonlinear reaction-diffusion model
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• 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
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

This page was built for publication: On the unique solvability of a nonlinear reaction-diffusion model with convection