【摘 要】
：
Under general conditions we show an extit{a priori} probabilistic Harnack inequality for the non-negative solution of a stochastic partial differential equ
【出 处】
：
2015 Peking University Youth Probability Forum(2015年北京大学青年概率
论文部分内容阅读
Under general conditions we show an extit{a priori} probabilistic Harnack inequality for the non-negative solution of a stochastic partial differential equation of the following form (e) tu=divg(A▽u)+f(t,x,u;ω)+gi(t,x,u;ω)w˙it . We will also show that the solution of the above equation will be almost surely strictly positive if the initial condition is non-negative and not identically vanishing.
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