Partial Regularity For Harmonic Maps And Related Problems

Roger Moser (Autor)

Buch | Hardcover

192 Seiten

2005
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-256-085-8 (ISBN)

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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.

Analytic Preliminaries; Harmonic Maps; Almost Harmonic Maps; Evolution Problems.

Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	981-256-085-8 / 9812560858
ISBN-13	978-981-256-085-8 / 9789812560858
Zustand	Neuware