Regularity of the heat operator on a manifold with cylindrical ends.
type: Item
instance of: scholarly article
title: Regularity of the heat operator on a manifold with cylindrical ends.
zbMATH Open document ID: 1054.58016
author: Paul Loya
author: Thalia Jeffres
published in: Pacific Journal of Mathematics
publication date: 2004-09-17T00:00:00Z
review text: The paper deals with the mapping properties of the heat operator \(e^{tA}\) of an \(m\)-th order elliptic \(b\)-differential operator in appropriately defined spaces of whole and fractional (Hölder) derivatives. An application is proposed to local (in time) existence of solutions to certain semilinear parabolic equations.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 2101165
zbMATH Keywords: heat operator on manifolds
zbMATH Keywords: regularity
MaRDI profile type: Publication
full work available at URL: pjm.2004.215.331
OpenAlex ID: W2080560227
DOI: 10.2140/PJM.2004.215.331
description: scientific article; zbMATH DE number 2101165