Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
type: Item
instance of: scholarly article
title: Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
zbMATH Open document ID: 1028.35108
author: David Hoff
author: Kevin Zumbrun
published in: Journal of Differential Equations
publication date: 2002-11-28T00:00:00Z
review text: The authors study the stability of multidimensional scalar viscous shock fronts. They extend the pointwise semigroup method introduced in the one-dimensional case by one of the authors and others to the multidimensional case. A pointwise bound for the Green's function of the linearized operator is obtained. Based on this result the authors also sharpen some \(L^p\)-estimates obtained by \textit{J. Goodman} and \textit{J. R. Miller} [J. Dyn. Differ. Equ. 11, 255-277 (1999; Zbl 0934.35093)].
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35A08
zbMATH DE Number: 1836800
zbMATH Keywords: pointwise semigroup method
reviewed by: Shuxing Chen
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4125
OpenAlex ID: W2086855556
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DOI: 10.1006/JDEQ.2001.4125
description: scientific article; zbMATH DE number 1836800