The Local Time For The Solution To A Stochastic Fractional Partial Differential Equation

In the paper [13],O.L.Izyumtseva combines the stochastic equation with the local time,doing some research on the local time for a heat equation driven by white noise,which needs the corresponding operator is invertible.In this thesis,we refer to the thinking of the paper [13],doing some research on the local time for the solution to a stochastic fractional partial differential equation driven by space-time white noise,which needs the corresponding operator is quasi-coercive.That is to say,the condition of the corresponding operator is extended,which means more contents can be included when the local time for the equation is researched,and some good conclusions can be deduced.The content of the paper is divided into two parts as follows:Chap 1.We introduce the background and basic knowledge of the thesis.Chap 2.We introduce the main research results about the thesis.