1.

Record Nr.

UNINA9910451346003321

Autore

Moser Roger

Titolo

Partial regularity for harmonic maps and related problems [[electronic resource] /] / Roger Moser

Pubbl/distr/stampa

Hackensack, NJ, : World Scientific, 2005

ISBN

1-281-89705-1

9786611897055

981-270-131-1

Descrizione fisica

1 online resource (194 p.)

Disciplina

514/.74

Soggetti

Harmonic maps - Mathematical models

Mathematical physics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preface; Contents; Chapter 1 Introduction; Chapter 2 Analytic Preliminaries; Chapter 3 Harmonic Maps; Chapter 4 Almost Harmonic Maps; Chapter 5 Evolution Problems; Bibliography; Index

Sommario/riassunto

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 ap