m-harmonic flow

• Norbert Hungerbühler ^[1]
  1. [1] ETH-Zentrum, Switzerland
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 24, Nº 4, 1997, págs. 593-631
• Idioma: inglés
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• Resumen

  • We prove that the m-harmonic flow of maps from a Riemannian manifold M of dimension m into a compact Riemannian manifold N has for arbitrary initial data of finite m-energy a global weak solution which is partially regular, i.e. up to finitely many singular times tl , ... , tk the gradient is in space-time. The number k of singular times is a priori bounded in terms of the initial energy and the geometry. Two solutions with identical initial data and bounded gradient coincide.