Regularity estimates for diffusion semigroups on weighted Sobolev spaces

Autor:	Hauray, Maxime, Vuong, Yen V.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	In this work, we consider a class of second order uniformly elliptic operators with smooth and bounded coefficients. We provide some estimates on the norm of the semigroup generated by these operators acting on weighted Sobolev spaces, where the weight satisfies some specific conditions. Our proof relies on a classical bound for the derivatives of fundamental solution to parabolic equations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.02153 Zobrazit plný text záznamu View this record from Arxiv