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Nonlinear eigenvalues and analytic hypoellipticity |
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| Authors: | Sagun Chanillo Ari Laptev |
| Affiliation: | a Department of Mathematics, Rutgers, The State University of New Jersey, Hill Center for the Mathematical Sciences, Busch Campus, Piscataway, NJ 08854, USA b Département de Mathématiques, UMR CNRS 8628, Université Paris-Sud, Bat. 425, 91405 Orsay Cedex, France c Department of Mathematics, Kungl. Tekniska Högskolan, 10044 Stockholm, Sweden |
| Abstract: | Motivated by the problem of analytic hypoellipticity, we show that a special family of compact non-self-adjoint operators has a nonzero 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. |
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