可测系数的非线性抛物型方程组的边值问题

Boundary Value Problems for Nonlinear Parabolic Systems with Measurable Coefficients

讨论可测系数的二阶非线性抛物型方程组的Ｄｉｒｉｃｈｌｅｔ边值问题和Ｎｅｕｍａｎｎ边值问题．首先给出解的先验估计，然后用这个估计和Ｓｃｈａｕｄｅｒ不动点定理。

Deals with the Dirichlet problem and Neumann problem for nonlinear parabolic systems of second order equations with measurable coefficients.First we give a priori estimates of the solutions and then by using the estimates of the solutions and the Schauder fixed point theorem,the existence of solutions for above boundary value problems are proved.