具有平衡律与变号非线性的耦合反应扩散方程的全局存在性
偏微分方程分析
2023-10-24 v2 动力系统
摘要
本文旨在证明具有平衡律与变号非线性的耦合反应扩散方程解的全局存在性。文中处理了解的一个（或两个）分量并非先验有界的情形。证明基于所发展的李雅普诺夫技术。
引用
@article{arxiv.2212.05623,
title = {Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign},
author = {Said Kouachi},
journal= {arXiv preprint arXiv:2212.05623},
year = {2023}
}
备注
Correction of an error in the proof of Theorem 1 by solving the problem of discontinuity of the sequence {{\theta}_{i}}