Singularities of Hypoelliptic Green Functions

Gerard Ben Arous, Mihai Gradinaru

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)217-258
Number of pages42
JournalPotential Analysis
Volume8
Issue number3
StatePublished - 1998

Fingerprint

Hypoelliptic Operators
Probabilistic Approach
Potential Theory
Green's function
Singularity

Keywords

  • Capacity
  • Degenerate diffusion
  • Green function
  • Hypoelliptic operator
  • Taylor stochastic expansion

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

Cite this

Singularities of Hypoelliptic Green Functions. / Ben Arous, Gerard; Gradinaru, Mihai.

In: Potential Analysis, Vol. 8, No. 3, 1998, p. 217-258.

Research output: Contribution to journalArticle

Ben Arous, G & Gradinaru, M 1998, 'Singularities of Hypoelliptic Green Functions', Potential Analysis, vol. 8, no. 3, pp. 217-258.
Ben Arous, Gerard ; Gradinaru, Mihai. / Singularities of Hypoelliptic Green Functions. In: Potential Analysis. 1998 ; Vol. 8, No. 3. pp. 217-258.
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