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Synopsis
The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.
Booknews
A self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments in the structure of the singular set and asymptotics on approach to the singular set. Based on the lecture notes of Norbert Hungerbuhler, the text is organized into four sections covering analytic preliminaries, regularity theory for harmonic maps, approximation properties of the singular set, and rectifiability of the singular set. The text does not assume any specialized knowledge in partial differential equations or the geometric calculus of variations. Annotation c. Book News, Inc., Portland, OR (booknews.com)