论文标题

耦合反应扩散方程的全球存在,具有平衡法和非恒定符号的非线性

Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign

论文作者

Kouachi, Said

论文摘要

本文旨在证明具有平衡定律和非线性的耦合反应扩散方程的全球溶液存在。当解决方案的一个(或两个)分量不是先验边界的情况时。证明基于发达的Lyapunov技术。

This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when one (or both) of the components of the solution is not a priori bounded is treated. Proofs are based on developed Lyapunov techniques.

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