论文标题
一类随机偏微分方程的小时渐近学，该方程具有完全单调系数，该方程是由乘法高斯噪声强迫的完全单调系数
Small time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise
论文作者
论文摘要
本文的主要目的是研究小型，高度非线性的，无界的漂移（基于指数等价参数的小偏差原理（LDP）对一类随机部分微分方程（SPDE）的影响，其具有完全单调的系数，该方程式由多个噪声驱动。 The small time LDP obtained in this paper is applicable for various quasi-linear and semilinear SPDEs such as porous medium equations, Cahn-Hilliard equation, 2D Navier-Stokes equations, convection-diffusion equation, 2D liquid crystal model, power law fluids, Ladyzhenskaya model, $p$-Laplacian equations, etc., perturbed by multiplicative Gaussian noise.
The main goal of this article is to study the effect of small, highly nonlinear, unbounded drifts (small time large deviation principle (LDP) based on exponential equivalence arguments) for a class of stochastic partial differential equations (SPDEs) with fully monotone coefficients driven by multiplicative Gaussian noise. The small time LDP obtained in this paper is applicable for various quasi-linear and semilinear SPDEs such as porous medium equations, Cahn-Hilliard equation, 2D Navier-Stokes equations, convection-diffusion equation, 2D liquid crystal model, power law fluids, Ladyzhenskaya model, $p$-Laplacian equations, etc., perturbed by multiplicative Gaussian noise.
