Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients
type: Item
instance of: scholarly article
title: Multisummability of formal solutions of inhomogeneous linear partial differential equations with constant coefficients
zbMATH Open document ID: 1250.35063
published in: Journal of Dynamical and Control Systems
publication date: 2012-07-17T00:00:00Z
review text: The author studies the initial value problem for a general inhomogeneous linear \(1/p\)-PDE with constant coefficients in two complex variables. He constructs the formal solution of this problem and study its Gevrey asymptotic properties. The author obtains necessary and sufficient conditions for the multisummability of formal solutions in terms of analytic continuation properties and growth estimates of some functions connected with the inhomogeneity.
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35E15
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6057756
zbMATH Keywords: fractional linear PDEs with constant coefficients
zbMATH Keywords: formal power series
zbMATH Keywords: Borel summability
zbMATH Keywords: Duhamel principle
zbMATH Keywords: Gevrey asymptotic properties
author: Sławomir Michalik
MaRDI profile type: Publication
full work available at URL: s10883-012-9136-5
OpenAlex ID: W2091516807
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DOI: 10.1007/S10883-012-9136-5
reviewed by: Igor Andrianov
description: scientific article; zbMATH DE number 6057756