论文标题
随机进化P-Laplace方程：大偏差原理和运输成本不平等
Stochastic evolutionary p-Laplace equation: Large Deviation Principles and Transportation Cost Inequality
论文作者
论文摘要
在本文中，我们建立了大偏差原理，以实现由小乘布朗尼噪声驱动的进化P-Laplace方程的强溶液，其中弱收敛方法起着关键作用。此外，通过使用Girsanov转换以及$ l^1 $ - 征服方法，我们显示了二次运输成本不平等，以解决基本问题的强大解决方案。
In this paper, we establish large deviation principle for the strong solution of evolutionary p-Laplace equation driven by small multiplicative Brownian noise, where the weak convergence approach plays a key role. Moreover, by using Girsanov transformation along with $L^1$-contraction approach, we show the quadratic transportation cost inequality for the strong solution of the underlying problem.
