Stochastics Seminar

Speaker: Dr. Erkan Nane

Title: Moment bounds for a class of fractional stochastic heat equations

Abstract: I will give a survey of recent results on the moments of the solution of  a class of stochastic partial differential equations (SPDEs) with noise that is white in time and colored in space. Under suitable assumptions, we show that the second moments of the solution grow exponentially with time. Then I will state some results for time fractional SPDEs. I will  also mention a collection of open problems for  SPDEs. The results are our recent work with Mohammud Foondun.