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Nonlinear eigenvalues and analytic hypoellipticity
KTH, Superseded Departments, Mathematics.
2004 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 209, no 2, 425-443 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2004. Vol. 209, no 2, 425-443 p.
Keyword [en]
nilpotent groups, vector-fields, pseudodifferential-operators, nonanalytic-hypoellipticity, singular solutions, squares, sums
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23283DOI: 10.1016/s0022-1236(03)00105-8ISI: 000220525300007Scopus ID: 2-s2.0-1842683272OAI: oai:DiVA.org:kth-23283DiVA: diva2:341981
Note
QC 20100525 QC 20111103Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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