On uniqueness for a semilinear parabolic system coupled in an equation and a boundary condition

DOI10.1016/J.JMAA.2004.06.002zbMath1061.35033OpenAlexW2042423883MaRDI QIDQ1883446

Matej Kordoš

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.002

zbMATH Keywords

uniqueness for nonnegative solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

A uniqueness result for a semilinear parabolic system ⋮ A reaction-diffusion system with nonlinear nonlocal boundary conditions ⋮ Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition

Cites Work

• Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space
• A semilinear parabolic system in a bounded domain
• On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition
• Note on critical exponents for a system of heat equations coupled in the boundary conditions
• A Uniqueness Result for a Semilinear Reaction-Diffusion System
• Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary
• The blow‐up rate for the heat equation with a non‐linear boundary condition
• On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations
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