论文标题
PDE和准线性方程的非线性随机扰动，取决于小参数
Nonlinear random perturbations of PDEs and quasi-linear equations in Hilbert spaces depending on a small parameter
论文作者
论文摘要
我们研究了在可分离的希尔伯特空间上定义的一类准线性抛物线方程，具体取决于二阶项前面的小参数。通过与该方程相关的非线性半群，我们引入了相应的SPDE，并根据小参数研究其溶液的渐近行为。我们表明，很大的偏差原则存在，我们对动作功能进行了明确的描述。
We study a class of quasi-linear parabolic equations defined on a separable Hilbert space, depending on a small parameter in front of the second order term. Through the nonlinear semigroup associated with such equation, we introduce the corresponding SPDE and we study the asymptotic behavior of its solutions, depending on the small parameter. We show that a large deviations principle holds and we give an explicit description of the action functional.
