Porous media equations with multiplicative space-time white noise

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.

21 pages

References in corpus (3)

• Entropy solutions for stochastic porous media equations
• Ergodicity for Stochastic Porous Media Equations
• Nondivergence form quasilinear heat equations driven by space-time white noise

Cited by in corpus (3)

• The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem
• Optimal regularity in time and space for stochastic porous medium equations
• Numerical approximation of singular-degenerate parabolic stochastic PDEs