Large time behavior and uniqueness of solutions of weakly coupled system of reaction-diffusion equations

DOI10.3836/TJM/1244208595zbMath1050.35032OpenAlexW2074796485MaRDI QIDQ1429086

Noriaki Umeda

Publication date: 30 March 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208595

zbMATH Keywords

uniquenessasymptotic behaviourglobal existenceweakly coupled systemnonnegative soutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Solutions to PDEs in closed form (35C05)

Related Items (2)

Large time behavior of ODE type solutions to nonlinear diffusion equations ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

Cites Work

• A degenerating family of quintic surfaces with trivial monodromy
• The blow-up rate for a semilinear parabolic system
• Boundedness and blow up for a semilinear reaction-diffusion system
• Blow-up and large time behavior of solutions of a weakly coupled system of reaction-diffusion equations.
• 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
• Unnamed Item

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