非线性退化抛物变分不等式问题解的存在性和唯一性

摘要

In this paper,the variational inequalities based on degenerate parabolic operators are studied.By penalty method,the existence and uniqueness of the solutions are proved,which generalize the theories of variational inequalities.%本文研究了一类基于非线性抛物算子的变分不等式问题.利用惩罚方法获得了一些关于该变分不等式解的存在性和唯一性方面的结论.该结论是对变分不等式理论的推广.