A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications

Details A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications

2008-11-08

arxiv.org/abs/0811.1255v1

Mathematics

Complex Variables

Scientific paper

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.

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