@Article{Tahara2015,
author = "Tahara, Hidetoshi",
title = "Analytic continuation of solutions of some nonlinear convolution partial differential equations",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "5",
pages = "739--773",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.5.739",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.5.739",
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.",
keywords = "convolution equations, partial differential equations, analytic continuation, summability, sector",
issn = "1232-9274"
}