Analytic continuation of solutions of some nonlinear convolution partial differential equations
Loading...
Date
Presentation Date
Editor
Authors
Other contributors
Other title
Resource type
Version
wersja wydawnicza
Pagination/Pages:
pp. 739-773
Research Project
Description
Abstract
The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summability theory of formal solutions of nonlinear partial differential equations. Under a suitable assumption it is proved that any local holomorphic solution has an analytic extension to a certain sector and its extension has exponential growth when the variable goes to infinity in the sector.