Summability of formal solutions to the \(n\)-dimensional inhomogeneous heat equation
type: Item
instance of: scholarly article
title: Summability of formal solutions to the \(n\)-dimensional inhomogeneous heat equation
zbMATH Open document ID: 1144.35015
author: Sławomir Michalik
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-08-14T00:00:00Z
review text: The Cauchy problem for the \(n\)-dimensional inhomogeneous complex heat equation is considered. The author uses the modified Borel transform instead of the Borel transform.
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 5312281
zbMATH Keywords: complex heat equation
zbMATH Keywords: formal power series
zbMATH Keywords: Borel summability
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.06.010
OpenAlex ID: W2032890049
cites work: Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke
cites work: Formal power series and linear systems of meromorphic ordinary differential equations
cites work: Multisummability of formal power series solutions of nonlinear meromorphic differential equations
cites work: Q4399897
cites work: On the Borel summability of divergent solutions of the heat equation
cites work: Summability of divergent series
cites work: Summability of divergent solutions of the \(n\)-dimensional heat equation
DOI: 10.1016/J.JMAA.2008.06.010
description: scientific article; zbMATH DE number 5312281