Global existence of low regularity solutions of nonlinear wave equations
type: Item
instance of: scholarly article
title: Global existence of low regularity solutions of nonlinear wave equations
zbMATH Open document ID: 0824.35074
DOI: 10.1007/BF02572346
author: Pedro Paulo Schirmer
author: Vladimir Georgiev
published in: Mathematische Zeitschrift
publication date: 1995-08-29T00:00:00Z
full work available at URL: https://eudml.org/doc/174754
review text: We prove a global existence theorem for small data solutions to nonlinear wave equations with null condition type nonlinearities under weak regularity assumptions. The proof consists of applying the conformal compactification method and establishing estimates of Klainerman-Machedon type for solutions of the wave equation on the Einstein cylinder manifold. This is accomplished by estimating some Fourier integral operators arising from the parametrix representation of the solutions.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 784096
zbMATH Keywords: global existence theorem
zbMATH Keywords: null condition type nonlinearities
zbMATH Keywords: weak regularity assumptions
reviewed by: Vladimir Georgiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 784096