English

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

Analysis of PDEs 2007-05-23 v1

Abstract

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".

Keywords

Cite

@article{arxiv.math/0303032,
  title  = {Local Real Analyticity of Solutions for sums of squares of non-linear vector fields},
  author = {David S. Tartakoff and Luisa Zanghirati},
  journal= {arXiv preprint arXiv:math/0303032},
  year   = {2007}
}

Comments

AMS-LaTeX, 10 pp