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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 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.
World Scientific Publishing Company; February 2005
194 pages; ISBN 9789812701312
Read online, or download in secure PDF format
194 pages; ISBN 9789812701312
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > Geometry. Trigonometry.Topology > Global analysis (Mathematics)
- Academic > Mathematics > Geometry. Trigonometry.Topology > Critical point theory (Mathematical analysis)
- Academic > Mathematics > Geometry. Trigonometry.Topology > Harmonic maps
- Academic > Mathematics > Tables
- Mathematics > Differential Equations
- Science > Physics
ISBNs
9789812560858
9789812701312
9812701311