摘要
本文首先讨论了一个非局部边界条件下的抛物型偏微分方程组,通过一个变量替换,使得在更宽松的边界假设条件下证明了解的存在唯一性;然后讨论了一个完全非线性的抛物型方程组,同样,通过变量替换证明了比较原理.
In this paper, a non-linear parabolic partial differential equation system with non-local boundary conditions is investigated. By using variables transformation, it follows the existence and uniqueness of the solutions under weaker assumption on boundary conditions than before; and it also proves the comparison principle for a fully non-linear parabolic equation system.
出处
《应用数学与计算数学学报》
2008年第1期21-30,共10页
Communication on Applied Mathematics and Computation
关键词
上下解
非局部边界条件
解的存在唯一性
拟单调
比较原理
upper and lower solutions, non-local boundary conditions, the existence and uniqueness of solution, quasi-monotone, comparison principle
