Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-03-24 DOI:10.1016/j.jde.2025.113245

Sandra Cerrai , Alessandra Lunardi

引用次数: 0

Abstract

We prove smoothing properties and optimal Schauder type estimates for a class of nonautonomous evolution equations driven by time dependent Ornstein-Uhlenbeck operators in a separable Hilbert space. They arise as Kolmogorov equations of linear nonautonomous stochastic differential equations with Gaussian noise.

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无限维非自治Kolmogorov方程的平滑效应和极大Hölder正则性

我们证明了可分离Hilbert空间中一类由时变Ornstein-Uhlenbeck算子驱动的非自治演化方程的平滑性质和最优Schauder型估计。它们是高斯噪声下线性非自治随机微分方程的Kolmogorov方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics