Optimal regularity in time and space for stochastic porous medium
equations
Optimal regularity in time and space for stochastic porous medium
equations
We prove optimal regularity estimates in Sobolev spaces in time and space for solutions to stochastic porous medium equations. The noise term considered here is multiplicative, white in time and coloured in space. The coefficients are assumed to be H\"older continuous and the cases of smooth coefficients of at most …