Partial Regularity For Harmonic Maps And Related Problems

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A01=Roger Moser
Author_Roger Moser
Category=PBKJ
Category=PBP
Category=PH
Category=PHU
Dirichlet Energy
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Harmonic Maps
Heat Flow
Landau-Lifshitz Equation
Regularity
Variational Problems

Product details

  • ISBN 9789812560858
  • Publication Date: 25 Feb 2005
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed versions of the harmonic map equation; the harmonic map heat flow; and the Landau-Lifshitz (or Landau-Lifshitz-Gilbert) equation. Since the methods in regularity theory of harmonic maps are quite subtle, it is not immediately clear how they can be applied to certain problems that arise in applications. The book discusses in particular this question.

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