Global classical solutions of nonlinear wave equations
type: Item
instance of: scholarly article
title: Global classical solutions of nonlinear wave equations
zbMATH Open document ID: 0457.35059
DOI: 10.1007/BF01258907
author: Philip Brenner
author: Wolf von Wahl
published in: Mathematische Zeitschrift
publication date: 1981-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183633
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 3716066
zbMATH Keywords: existence of global classical and global strong solutions
zbMATH Keywords: nonlinear wave equations
zbMATH Keywords: selfadjoint positive elliptic operator
zbMATH Keywords: homogeneous initial- boundary value problem
zbMATH Keywords: Cauchy problem
zbMATH Keywords: growth conditions
zbMATH Keywords: Banach's fixed point theorem
zbMATH Keywords: Tychonoff's fixed point theorem
zbMATH Keywords: weak topology
zbMATH Keywords: estimates
zbMATH Keywords: fractional order Besov spaces
MaRDI profile type: Publication
cites work: Q4112938
cites work: On the spectral theory of elliptic differential operators. I
cites work: Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen
cites work: Q3207428
cites work: Q4169288
cites work: Klassische Lösungen nichtlinearer Wellengleichungen im Großen
cites work: Über nichtlineare Wellengleichungen mit zeitabhängigem elliptischen Hauptteil
cites work: Regular solutions of initial-boundary value problems for linear and nonlinear wave-equations. II
cites work: Q3871242
description: scientific article; zbMATH DE number 3716066