具有非Lipschitz系数的多值随机发展方程(英文)

Multivalued Stochastic Evolution Equations with Non-Lipschitz Coefficients

本文在发展三元组的框架下,研究了一种具有极大单调算子和非Lipschitz系数的多值随机发展方程.在一定条件下,我们证明了这种方程的解的存在唯一性.

In this paper, under the framework of evolutional triple, we prove the existence and unktueness of solutions to multivalued stochastic evolution equations with maximal monotone opera- tors and non-Lipschitz coefficients.