散度型拟线性抛物组弱解的存在唯一性

Existence and Uniqueness of Weak Solutions for Quasilinear Divergence Structure Parabolic Systems

应用上、下解与单调迭代技巧相结合的方法证明散度型拟线性抛物组(包括p-Laplace发展方程组)弱解的存在唯一性。

Using the method of upper-lower solutions coupled with monotone itera-tive technique, the existence and uniqueness of weak solutions are proven for quasilinear divergence structure parabolic systems (including p-Laplace evolution systems).