一类带时间非自伴随机抛物微分方程的正则性研究

Some regularities of a Time-Dependent Non-selfadjoint Stochastic Parabolic Equations

主要研究一类由布朗运动驱动的带有时间t的非自伴随机抛物型偏微分方程,通过对半群理论、发展系统以及插值理论的应用,得到了随机微分方程解的两种正则性估计.

The general time-dependent non-selfadjoint stochastic parabolic differential equation,which is driven by Brownian motions under Dirichlet boundary conditions,was studied. By applying the semi- group theory,development system and interpolation method,we obtained two regularities of the solution to the stochastic parabolic differential equations.