A uniqueness result for a semilinear parabolic system

DOI10.1016/j.jmaa.2006.08.015zbMath1175.35070OpenAlexW2145053464MaRDI QIDQ879138

Pavol Bokes

Publication date: 4 May 2007

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.2006.08.015

zbMATH Keywords

uniquenessreaction-diffusion systemnon-Lipschitz nonlinearity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

A reaction-diffusion system with nonlinear nonlocal boundary conditions ⋮ Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions ⋮ A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition

Cites Work

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• The blow-up rate for a semilinear parabolic system
• Boundedness and blow up for a semilinear reaction-diffusion system
• On uniqueness for a semilinear parabolic system coupled in an equation and a boundary condition
• A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions
• A Uniqueness Result for a Semilinear Reaction-Diffusion System
• Global existence and blow-up for a completely coupled Fujita type system
• Global existence and blow up of solutions for a completely coupled Fujita type system of reaction-diffusion equations
• On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations

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