A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
Complex Variables
2008-11-11 v1 Analysis of PDEs
Abstract
We consider a Cauchy problem for an overdetermined system of PDEs, and give necessary and sufficient conditions for solvability of this Cauchy problem for all data. As an application, we find all real tube hypersurfaces in complex space whose Levi number is maximal.
Keywords
Cite
@article{arxiv.0811.1255,
title = {A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications},
author = {M. S. Baouendi and P. Ebenfelt and D. Zaitsev},
journal= {arXiv preprint arXiv:0811.1255},
year = {2008}
}