Partial Regularity For Harmonic Maps And Related Problems

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    Partial Regularity For Harmonic Maps And Related Problems
    By: Moser Roger
    Publisher:
    World Scientific
    Print ISBN: 9789812560858, 9812560858
    eText ISBN: 9789812701312, 9812701311
    Format: PDF
    Available from $ 218.00 USD
    SKU 9789812701312
    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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