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Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity

Bernard Helffer·Didier Robert·Xue Ping Wang
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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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Bernard Helffer, Didier Robert, Xue Ping Wang. 2003-04-15. Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity. https://arxiv.org/abs/math/0304201

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