On local and global analytic and Gevrey hypoellipticity

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1995 English Publisher:MathDoc/Centre MersenneJournal:Journées équations aux dérivées partielles (eissn: 2118-9366,

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Authors: Christ, Michael;

doi: 10.5802/jedp.481

On local and global analytic and Gevrey hypoellipticity

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Abstract

Some recent results in the investigation of analytic and Gevrey hypoellipticity of linear partial differential operators having analytic coefficients are formulated. Global analytic hypoellipticity is also studied. The analysis proposed here depends on certain nonlinear eigenvalue problems for ordinary differential equations. No proofs are given.

Keywords

Hypoelliptic equations, analytic hypoellipticity, Gevrey hypoellipticity, nonlinear eigenvalue problems

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