Volume no :43, Issue no: 1, January (2017)

NONLINEAR SYSTEM OF SINGULAR PARTIAL DIFFERENTIAL EQUATIONS

Author's: Patrice Pongérard
Pages: [31] - [53]
Received Date: December 4, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121748

Abstract

This paper explores some nonlinear systems of singular partial differential equations written in the form Under an assumption on unique solvability theorems are provided in the space of functions that are holomorphic in x on an open set, differentiable with respect to t on a real interval and extending to a continuous function at The studied systems contain Fuchsian systems.

Keywords

nonlinear system, singular PDE, partially holomorphic functions.