Semilinear reaction--diffusion systems of several components

DOI10.1016/S0022-0396(02)00075-XzbMath1029.35138OpenAlexW2021384723MaRDI QIDQ1864671

Chunhong Xie, Yuxiang Li, Qi-lin Liu

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00075-x

zbMATH Keywords

reaction-diffusion systemsglobal existence\(M\)-matricesfinite time blow-up

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (13)

GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Uniqueness and existence of positive solutions for some semilinear elliptic systems ⋮ Optimal conditions for a priori estimates for semilinear elliptic systems with two components ⋮ Semilinear reaction-diffusion systems with nonlocal sources ⋮ Global existence and finite time blow-up for a reaction-diffusion system with three components ⋮ A nonlinear diffusion system coupled via nonlinear boundary flux ⋮ Global existence and nonexistence for degenerate parabolic equations with nonlinear boundary flux ⋮ A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces ⋮ Global existence and nonexistence for diffusive polytropic filtration equations with nonlinear boundary conditions ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations ⋮ Global existence and nonexistence of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions ⋮ Non-simultaneous blow-up of \(n\) components for nonlinear parabolic systems ⋮ Necessary and sufficient condition for the existence of positive solutions of a coupled system for elastic beam equations

Cites Work

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