Partial Regularity for Harmonic Maps and Related Problems
Roger Moser
Gebundenes Buch

Partial Regularity for Harmonic Maps and Related Problems

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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 hurmonic map problem. The topics covered include harmonic maps und 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 ap...