可测系数的二阶非线性抛物型复方程的两种边值问题  

Two Boundary Value Problems for Second Order Nonlinear Parabolic Equations with Measurable Coefficients

作　　者：闻国椿[1] 

机构地区：[1]北京大学

出　　处：《烟台大学学报（自然科学与工程版）》1993年第1期1-8,21,共9页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：假设对所讨论的非线性抛物型复方程满足一定的条件下,证明了其第一边值问题与第二边值问题广义解的存在性。This paper deals with the dirichlet and neumann boundary value problems for second order nonlinear,nondivergence parabolic equations with measurable coefficients. Under some conditions, the author gives a priori estimates of solutions for the above problems, and then proves the existence of solutions for the boundary value problems.

关 键 词：可测系数 非线性 非散度型 抛物型复方程 边值问题 

分 类 号：N55，TB[自然科学总论]