Local Real Analyticity of Solutions for sums of squares of non-linear vector fields

Details Local Real Analyticity of Solutions for sums of squares of non-linear vector fields Local Real Analyticity of Solutions for sums of squares of non-linear vector fields

2003-03-03

arxiv.org/abs/math/0303032v1

Journal of Differential Equations {\bf 213} (2) (2005), pp.~341-351.

Mathematics

Analysis of PDEs

AMS-LaTeX, 10 pp

Scientific paper

We show that all smooth solutions of model non-linear sums of squares of
vector fields are locally real analytic. A global result for more general
operators is presented in a paper by Makhlouf Derridj and the first author
under the title "Global Analytic Hypoellipticity for a Class of Quasilinear
Sums of Squares of Vector Fields".

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