Kavli Affiliate: Ran Wang | First 5 Authors: Chang Liu, Chang Liu, , , | Summary: We study the linear stochastic fractional heat equation $$ fracpartialpartial tu(t,x)=-(-Delta)^fracalpha2u(t,x)+dotW(t,x), quad t>0, quad xinmathbbR, $$ where $-(-Delta)^fracalpha2$ denotes the fractional Laplacian with power $alphain (1,2)$, and the driving noise $dotW$ is a centered Gaussian field that is white […]
Continue.. Growth rates for the Hölder coefficients of the linear stochastic fractional heat equation with rough dependence in space