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arXiv · 2002.12924

Porous media equations with multiplicative space-time white noise

Konstantinos Dareiotis·Máté Gerencsér·Benjamin Gess
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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.

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Konstantinos Dareiotis, Máté Gerencsér, Benjamin Gess. 2020-02-28. Porous media equations with multiplicative space-time white noise. https://doi.org/10.1214/20-aihp1139

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