非局部边界条件下的抛物型偏微分方程组  

Parabolic Partial Differential Equation Systems with Non-local Boundary Conditions

作　　者：张正林[1] 王远弟[1] 

机构地区：[1]上海大学理学院数学系,上海200444

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

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.

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 

分 类 号：O175.26[理学—数学]