具严格平衡律和非常号非线性项的反应扩散方程组解的整体存在性
Global existence for reaction diffusion systems with strict balance Law and nonlinearities with non constant-sign and unlimited polynomial growth
摘要：
本文证明了一般非线性反应扩散方程解的整体存在性，其中只有两个主要性质：拟正性和平衡律，但有两个困难：变号和多项式无限增长.我们克服了第一个困难，通过固定的反应符号后一段时间，第二个通过使用一个明智的多项式李雅普诺夫功能。
英文摘要：
The purpose of this paper is to prove global existence of solutions for general systems of reaction diffusion equations with nonlinearities for which only two main proprieties hold: Quasi-Positivity and balance law but with two difficulties: they change sign and with unlimited polynomial growth. We overcome the first difficulty by fixing the reaction sign after some time and the second one by using a judicious polynomial Lyapunov functional.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
