论文标题
随机双线非线性PDE：大偏差原理和不变度的存在
Stochastic doubly nonlinear PDE: Large Deviation Principles and existence of Invariant measure
论文作者
论文摘要
在本文中，我们建立了较大的偏差原理，用于通过小乘布朗噪声驱动的双线非线性PDE的强溶液。在证据中利用了摩托语论证和弱收敛方法。此外，通过使用相关Markov Semigroup的某些A-PRIORI估计和依次弱的Feller特性，我们显示了对基本问题的强解决方案的不变概率度量的存在。
In this paper, we establish large deviation principle for the strong solution of a doubly nonlinear PDE driven by small multiplicative Brownian noise. Motononicity arguments and the weak convergence approach have been exploited in the proof. Moreover, by using certain a-priori estimates and sequentially weakly Feller property of the associated Markov semigroup, we show existence of invariant probability measure for the strong solution of the underlying problem.
