Hypoelliptic ordinary differential operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1972 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 13, pages 106-134 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Kannai, Yakar;

doi: 10.1007/bf02760232

Hypoelliptic ordinary differential operators

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Abstract

Necessary and sufficient conditions for the hypoellipticity of an ordinary differential operator withC ∞ coefficients in a neighborhood of a zero of finite order of the leading term are given. A sufficient condition for such an operator to be in a certain Hormander class is also given.

Related Organizations

Hebrew University of Jerusalem
Israel

Keywords

Hypoelliptic equations, Asymptotic theory for ordinary differential equations

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