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

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.