Wave equations with low regularity coefficients
type: Item
instance of: scholarly article
title: Wave equations with low regularity coefficients
zbMATH Open document ID: 0909.35081
author: Hart F. Smith
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/232997
full work available at URL: Smith.MAN.html
review text: This paper is a review of recent developments on the understanding of solutions of wave equations on Riemannian manifolds with metrics of low differentiability. The objective is to prove a type of Strichartz estimate which is deduced by an interpolation argument. At one of the end points the above mentioned estimate is not valid. Also the author states two results: The first one proves that a minimal regularity of the metric is necessary, and the other which proves that the inequality is true if hypothesis on the sectional curvature is made.
reviewed by: José Ruidival dos Santos Filho
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35S30
Mathematics Subject Classification ID: 35S50
zbMATH DE Number: 1184306
zbMATH Keywords: Strichartz inequality
zbMATH Keywords: metrics of low differentiability
zbMATH Keywords: interpolation argument
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184306