St. Petersburg Mathematical Society

Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity

Author(s): Bernard Helffer; Didier Robert; Xue Ping Wang
Translated by: the authors
Original publication: Algebra i Analiz, tom 16 (2004), vypusk 1.
Journal: St. Petersburg Math. J. 16 (2005), 285-296.
MSC (2000): Primary 35P30, 35P25
Posted: 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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Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 35P30, 35P25

Bernard Helffer
Affiliation: Département de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bat. 425, 91405 Orsay Cedex, France
Email: Bernard.Helffer@math.u-psud.fr

Didier Robert
Affiliation: Laboratoire de Mathématiques Jean Leray, Département de Mathématiques, UMR CNRS 6629, Université de Nantes, 44322 Nantes Cedex 3, France
Email: Didier.Robert@math.univ-nantes.fr

Xue Ping Wang
Affiliation: Laboratoire de Mathématiques Jean Leray, Département de Mathématiques, UMR CNRS 6629, Université de Nantes, 44322 Nantes Cedex 3, France
Email: Xue-Ping.Wang@math.univ-nantes.fr

DOI: 10.1090/S1061-0022-04-00851-9
PII: S 1061-0022(04)00851-9
Keywords: Semiclassical analysis, analytic hypoellipticity, nonlinear eigenvalue problem
Posted: December 17, 2004
Additional Notes: The first author was partially supported by the SPECT ESF European program. The third author was partially supported by the program ``Outstanding Overseas Chinese Scholars'' of the Chinese Academy of Sciences.
Dedicated: Dedicated to M. Sh. Birman on the occasion of his 75th birthday
Copyright of article: Copyright 2004, American Mathematical Society

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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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