Kavli Affiliate: Ran Wang | First 5 Authors: Bin Qian, Min Wang, Ran Wang, Yimin Xiao, | Summary: Consider the nonlinear stochastic heat equation $$ frac{partial u (t,x)}{partial t}=frac{partial^2 u (t,x)}{partial x^2}+ sigma(u (t,x))dot{W}(t,x),quad t> 0,, xin mathbb{R}, $$ where $dot W$ is a Gaussian noise which is white in time and has the covariance […]
Continue.. Temporal regularity for the stochastic heat equation with rough dependence in space