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Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity

Bernard Helffer, Didier Robert, Xue Ping Wang

math.AParXiv:math/0304201

Abstract

We give a semiclassical analysis of a nonlinear eigenvalue problem arising from the study of the failure of analytic hypoellipticity and obtain a general family of hypoelliptic, but not analytic hypoelliptic operators.

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