论文标题
具有乘法噪声的随机保护定律的遗传性
Ergodicity for stochastic conservation laws with multiplicative noise
论文作者
论文摘要
我们证明了具有由乘法噪声驱动的DIRICHLET边界条件的随机保护定律解决方案的独特不变量度。此外,还建立了多项式混合特性。这是在动力学溶液中以L^1加权空间进行值的设置完成的。
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing property is established. This is done in the setting of kinetic solutions taking values in an L^1-weighted space.