Nonlinear eigenvalues and analytic hypoellipticity
نویسنده
چکیده
Motivated by the problem of analytic hypoellipticity, we show that a special family of compact non selfadjoint operators has a non zero eigenvalue. We recover old results obtained by ordinary differential equations techniques and show how it can be applied to the higher dimensional case. This gives in particular a new class of hypoelliptic, but not analytic hypoelliptic operators.
منابع مشابه
Semiclassical Analysis of a Nonlinear Eigenvalue Problem and Nonanalytic Hypoellipticity
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