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.
出处
《烟台大学学报(自然科学与工程版)》
CAS
1993年第1期1-8,21,共9页
Journal of Yantai University(Natural Science and Engineering Edition)
关键词
可测系数
非线性
非散度型
抛物型复方程
边值问题
Measurable coefficients. Nonlinear. Nondivergence. Parabolic complex equations. Boundary value problems.