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
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.