Porous media equations with multiplicative space-time white noise (2002.12924v1)

Published 28 Feb 2020 in math.PR and math.AP

Abstract: The existence of martingale solutions for stochastic porous media equations driven by nonlinear multiplicative space-time white noise is established in spatial dimension one. The Stroock-Varopoulos inequality is identified as a key tool in the derivation of the corresponding estimates.