Blow-up and large time behavior of solutions of a weakly coupled system of reaction-diffusion equations.

DOI10.21099/TKBJM/1496164558zbMath1035.35018OpenAlexW1561864050MaRDI QIDQ1411734

Noriaki Umeda

Publication date: 2003

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

Full work available at URL: https://doi.org/10.21099/tkbjm/1496164558

zbMATH Keywords

existenceblow-up solutionbehaviorweakly coupled systemglobal

Mathematics Subject Classification ID

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

Related Items (7)

Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Large time behavior and uniqueness of solutions of weakly coupled system of reaction-diffusion equations ⋮ Critical Fujita curve for a semilinear parabolic system with time-weighted sources ⋮ Global existence and nonexistence of solutions for a system of nonlinear damped wave equations ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations

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