These five lectures given by Kenig at the March 2000 Arkansas Spring Lecture Series have been expanded to reflect the rapid progress in this field. Kenig covers motivation and statement of the main results, the relation between potential theory and geometry for planar domains (added to this edition), preliminary results in potential theory, Reifenberg flat and chord arc domains, from the geometry of a domain to its potential theory, and from potential theory to the geometry of a domain. Kenig closes by describing higher codimentation and further regularity results. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
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