Porous media equations with multiplicative space-time white noise
- Authors: Konstantinos Dareiotis, Máté Gerencsér, Benjamin Gess
- Preprint year: 2020
- First public date: 2020-02-28
- arXiv: 2002.12924
- Status: Published
- Publication type: Journal article
- Publication year: 2021
- Journal: Annales de l'Institut Henri Poincaré / B : Probabilites et statistiques, 57 (2021) 4, pp. 2354-2371
- DOI: 10.1214/20-AIHP1139
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.