一类拟线性退化抛物方程组全局解的存在惟一性  

Existence and Uniqueness of Global Solutions to a Class of Quasilinear Degenerate Parabolic Systems

作　　者：马琦[1] 高文杰[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2009年第2期159-164,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771085);吉林大学"985工程"项目基金

摘　　要：研究带有第一初边值条件的弱耦合发展型p-Laplace方程组.在适当的假设条件下,利用单调性迭代技术及正则化方法构造一个解序列,从而得到了正则化方程组的弱解.通过标准的极限过程及积分方法,得到了发展型p-Laplace方程组弱解的存在性和惟一性.This paper aims at a weak coupling evolution p-Laplacian system with the first initial and boundary value conditions. Under appropriate hypotheses, the method of regularization is used to construct a sequence of solutions with the help of monotone iteration technique and the solution to the regularized system can be found. Then the existence of solutions to the evolution p-Laplacian system is obtained by a standard limiting process. Finally, the uniqueness of the solution can be proven by integral method.

关 键 词：存在性 惟一性 拟线性 退化 抛物方程组 

分 类 号：O175.8[理学—数学]