Multisummability of formal solutions of some linear partial differential equations
type: Item
instance of: scholarly article
title: Multisummability of formal solutions of some linear partial differential equations
zbMATH Open document ID: 1020.35018
author: Sunao Ōuchi
published in: Journal of Differential Equations
publication date: 2003-03-18T00:00:00Z
review text: The author treats formal power series solutions \(\widetilde u(t,x)= \sum^\infty_{n=1} u_n(x)t^n\) of a linear partial differential equation in \(\mathbb{C}^{d+1}\) \[ P(t,x,\partial_t,\partial_x) u(t,x)=f(t,x),\;(t,x)\in \mathbb{C}\times \mathbb{C}^d. \] {}.
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35F05
zbMATH DE Number: 1884211
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: formal power series in time
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: jdeq.2002.4178
OpenAlex ID: W2135447019
cites work: Q4009102
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DOI: 10.1006/JDEQ.2002.4178
description: scientific article; zbMATH DE number 1884211