Uniqueness of weak solutions of \(1+1\) dimensional wave maps
type: Item
instance of: scholarly article
title: Uniqueness of weak solutions of \(1+1\) dimensional wave maps
zbMATH Open document ID: 0940.35141
DOI: 10.1007/PL00004779
author: Yi Zhou
published in: Mathematische Zeitschrift
publication date: 2000-07-27T00:00:00Z
review text: The author studies the equations of wave maps from \((1+1)\)-dimensional Minkowsky space to any complete Riemannian manifold. It is proved that a finite energy distributional solution to the Cauchy problem is unique. The technique is based on previous works on quasilinear hyperbolic systems. The result shows that the \((1+1)\)-dimensional case is in sharp contrast with the \((3+1)\)-dimensional one where the weak solutions are not unique.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 58J45
zbMATH DE Number: 1389851
zbMATH Keywords: finite energy distributional solution
zbMATH Keywords: Cauchy problem
reviewed by: L. Vázquez
MaRDI profile type: Publication
full work available at URL: pl00004779
OpenAlex ID: W2093062301
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description: scientific article; zbMATH DE number 1389851