Proof of existence of global solutions for \(m\)-component reaction-diffusion systems with mixed boundary conditions via the Lyapunov functional method. (English) Zbl 1155.35384
The goal of this paper is to prove the existence of a global solution using a single inequality for the polynomial growth condition of the reaction terms in \(m\)-component reaction-diffusion systems with mixed boundary conditions. The technique is based on Lyapunov functional method.
Reviewer: Sebastian Anita (Iaşi)
MSC:
35K50 | Systems of parabolic equations, boundary value problems (MSC2000) |
35K57 | Reaction-diffusion equations |