Global solution of the system of wave and Klein-Gordon equations
type: Item
instance of: scholarly article
title: Global solution of the system of wave and Klein-Gordon equations
zbMATH Open document ID: 0671.35052
DOI: 10.1007/BF02570764
published in: Mathematische Zeitschrift
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174155
review text: The work is devoted to the proof of a new \(L^{\infty}-L^ 2\) weighted estimate for the linear wave equation. The weighted Sobolev spaces are associated with the Poincaré group in \({\mathbb{R}}^ 4\) only. Application to a nonlinear system of wave and Klein-Gordon equations is given. The nonlinear term of this system is assumed to satisfy a strong version of the null condition of Klainerman.
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 4097919
zbMATH Keywords: weighted estimate
zbMATH Keywords: wave equation
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: Poincare group
zbMATH Keywords: nonlinear system
zbMATH Keywords: Klein-Gordon equations
zbMATH Keywords: null condition of Klainerman
author: Vladimir Georgiev
reviewed by: Vladimir Georgiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4097919