Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations

DOI10.4310/MAA.1998.v5.n2.a1zbMath0913.35065MaRDI QIDQ1268660

Kiyoshi Mochizuki, Qing Huang

Publication date: 1 November 1998

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

zbMATH Keywords

global solutions and nonglobal solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic systems (35K45)

Related Items (14)

Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions ⋮ Blow-Up vs. Global Existence for a Fujita-Type Heat Exchanger System ⋮ Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case ⋮ Life span of positive solutions for the Cauchy problem for the parabolic equations ⋮ The role of critical exponents in blow-up theorems: The sequel ⋮ Unnamed Item ⋮ Life span and secondary critical exponent for degenerate and singular parabolic equations ⋮ Global existence and nonexistence of solutions for a system of nonlinear damped wave equations ⋮ Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity ⋮ On the local existence for Hardy parabolic equations with singular initial data ⋮ Nonexistence of global positive solutions of weakly coupled systems of semilinear parabolic equations with time-periodic coefficients ⋮ Lifespan of solutions for a weakly coupled system of semilinear heat equations ⋮ On the critical exponent for some semilinear reaction-diffusion systems on general domains ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations

This page was built for publication: Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations