Singularities of Hypoelliptic Green Functions

Gerard Ben Arous; Mihai Gradinaru

doi:10.1023/a:1008608825872

Singularities of Hypoelliptic Green Functions

Gerard Ben Arous, Mihai Gradinaru

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is devoted to a precise description of the singularity near the diagonal of the Green function associated to a hypoelliptic operator using a probabilistic approach. Examples and some applications to potential theory are given.

Original language	English (US)
Pages (from-to)	217-258
Number of pages	42
Journal	Potential Analysis
Volume	8
Issue number	3
DOIs	https://doi.org/10.1023/a:1008608825872
State	Published - 1998

Keywords

Capacity
Degenerate diffusion
Green function
Hypoelliptic operator
Taylor stochastic expansion

ASJC Scopus subject areas

Analysis

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abstract = "This paper is devoted to a precise description of the singularity near the diagonal of the Green function associated to a hypoelliptic operator using a probabilistic approach. Examples and some applications to potential theory are given.",

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KW - Green function

KW - Hypoelliptic operator

KW - Taylor stochastic expansion

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Singularities of Hypoelliptic Green Functions

Abstract

Keywords

ASJC Scopus subject areas

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