Global existence of wave maps in 1+2 dimensions with finite energy data
type: Item
instance of: scholarly article
title: Global existence of wave maps in 1+2 dimensions with finite energy data
zbMATH Open document ID: 0896.35086
DOI: 10.12775/TMNA.1996.011
author: Michael Struwe
author: Stefan Müller
published in: Topological Methods in Nonlinear Analysis
publication date: 1998-04-22T00:00:00Z
review text: The authors prove the existence of a global weak solution of the Cauchy problem with initial data of finite energy for the wave map from \(\mathbb R\times\mathbb R^2\) into a compact Riemannian manifold. To get such a weak solution, they use a unique global solution of a viscous approximation problem with a parameter \(\varepsilon\) for a regularized wave map. The solution of the Cauchy problem is obtained as a weak limit of the above approximate solutions as \(\varepsilon\rightarrow 0\).
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 58J45
zbMATH DE Number: 1127672
zbMATH Keywords: Cauchy problem
zbMATH Keywords: viscous approximation
zbMATH Keywords: weak solution
reviewed by: Nobumitsu Nakauchi
MaRDI profile type: Publication
full work available at URL: tmna.1996.011
OpenAlex ID: W160360410
description: scientific article; zbMATH DE number 1127672