标题： 拟线性随机偏微分方程的障碍问题：分析方法 显示英文标题

标题： The obstacle problem for quasilinear stochastic PDEs: Analytical approach

摘要： 我们证明了带有障碍的拟线性随机偏微分方程（简称OSPDE）的存在性和唯一性结果。 我们的方法基于来自抛物位势理论的分析技术。 解表示为一对 $(u,\nu)$ 其中 $u$是一个取值于适当索伯列夫空间的可预测连续过程，而 $\nu$是满足最小斯科罗霍德条件的随机正则测度。 显示英文摘要

摘要： We prove an existence and uniqueness result for quasilinear Stochastic PDEs with obstacle (OSPDE in short). Our method is based on analytical technics coming from the parabolic potential theory. The solution is expressed as a pair $(u,\nu)$ where $u$ is a predictable continuous process which takes values in a proper Sobolev space and $\nu$ is a random regular measure satisfying the minimal Skohorod condition.