A parametrix for step-two hypoelliptic diffusion equations

Thomas Taylor

doi:10.1090/S0002-9947-1986-0837807-X

A parametrix for step-two hypoelliptic diffusion equations

Thomas Taylor

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

6 Scopus citations

Abstract

In this paper I construct a parametrix for the hypoelliptic diffusion equations (J/Jt - L u = 0, where L = S_aⁿ=_lg_a² and where the ga are vector fields which satisfy the property that they, together with all of the commutators [ga, gb] for cl < b, are at each point linearly independent and span the tangent space.

Original language	English (US)
Pages (from-to)	191-215
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	296
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1986-0837807-X
State	Published - Jul 1986

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "In this paper I construct a parametrix for the hypoelliptic diffusion equations (J/Jt - L u = 0, where L = San=lga2 and where the ga are vector fields which satisfy the property that they, together with all of the commutators [ga, gb] for cl < b, are at each point linearly independent and span the tangent space.",

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AB - In this paper I construct a parametrix for the hypoelliptic diffusion equations (J/Jt - L u = 0, where L = San=lga2 and where the ga are vector fields which satisfy the property that they, together with all of the commutators [ga, gb] for cl < b, are at each point linearly independent and span the tangent space.

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