Article

Potential Analysis

, Volume 8, Issue 3, pp 217-258

First online:

Singularities of Hypoelliptic Green Functions

  • Gerard Ben ArousAffiliated withDépartment de Mathématiques, Eacute;cole Polytechnique Fédérale de Lausanne
  • , Mihai GradinaruAffiliated withInstitut Elie Cartan, Université Henri Poincaré

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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.

Hypoelliptic operator Green function degenerate diffusion Taylor stochastic expansion capacity.