Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity

Helffer, Bernard; Robert, Didier; Wang, Xue

doi:10.1090/S1061-0022-04-00851-9

Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity
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by Bernard Helffer, Didier Robert and Xue Ping Wang
Translated by: the authors

St. Petersburg Math. J. 16 (2005), 285-296

DOI: https://doi.org/10.1090/S1061-0022-04-00851-9

Published electronically: December 17, 2004

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Abstract:

A semiclassical analysis of a nonlinear eigenvalue problem arising from the study of the failure of analytic hypoellipticity is given. A general family of hypoelliptic, but not analytic hypoelliptic operators is obtained.

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