On the Peaks of a Stochastic Heat Equation on a Sphere with a Large Radius

Weicong Su

For every $R>0$, consider the stochastic heat equation ${\partial }_t{u}_R(t,x)=\frac{1}{2}{\Delta }_{S_R^2}{u}_R(t,x)+\sigma (u_R(t,x)){\xi }_R(t,x)$ on $S_R^2$, where $ξ_{R}=\dot…