论文标题

具有乘法时空白噪声的多孔媒体方程

Porous media equations with multiplicative space-time white noise

论文作者

Dareiotis, Konstantinos, Gerencsér, Máté, Gess, Benjamin

论文摘要

在空间尺寸一中,建立了由非线性乘法时空白噪声驱动的随机多孔介质方程的Martingale解决方案。 strock-varopoulos不等式被确定为相应估计值推导的关键工具。

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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