报告人:
刘凯
报告人单位:
利物浦大学
时间:
2019-07-02 15:30-17:00
地点:
卫津路校区6号楼111教
开始时间:
15:30
报告人简介:
利物浦大学教授
年:
2019
日月:
07.02
In this talk, we consider the regularity property of stochastic convolutions for a class of abstract linear stochastic retarded functional differential equations with unbounded operator coefficients. We establish useful estimates on fundamental solutions which are time delay versions of those on $C_0$-semigroups. To this end, we develop a scheme of constructing the resolvent operators for the integrodifferential equations of Volterra type since the equation under investigation is of this type in each subinterval describing the segment of its solution. Then we apply these estimates to stochastic convolutions of our equations to obtain the desired regularity property.