半经典子椭圆算子的参数

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2020-12-28 DOI:10.2140/apde.2020.13.2375

Hart F. Smith

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引用次数: 3

摘要

我们证明了具有半经典参数的平方和型算子的parameterix构造，以及相关的伪微分算子演算。我们考虑的算子形式包括黎曼流形共球丛上动力学布朗运动的生成元。通过建立参数的映射性质，证明了半经典Sobolev空间中的正则性估计。

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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Parametrix for a semiclassical subelliptic operator

We demonstrate a parametrix construction, together with associated pseudodifferential operator calculus, for an operator of sum-of-squares type with semiclassical parameter. The form of operator we consider includes the generator of kinetic Brownian motion on the cosphere bundle of a Riemannian manifold. Regularity estimates in semiclassical Sobolev spaces are proven by establishing mapping properties for the parametrix.

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.