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math.AP2003
Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity
Bernard Helffer, Didier Robert, Xue Ping Wang
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, bu…
math.AP2002★ 1 cited
Non-Linear Eigenvalues and Analytic Hypoellipticity
Sagun Chanillo, Bernard Helffer, Ari Laptev
Motivated by the problems of analytic hypoellipticity, we show that a special family of compact non self-adjoint operators has a non-zero eigenvalue. We recover old results by Chri…