Regularity of Free Boundaries in Obstacle-Type Problems (Graduate Studies in Mathematics, 136, Band 136) - Hardcover

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Mathematicians Petrosyan (Purdue U., Indiana), Henik Shaghgolian (Royal Institute of Technology, Sweden), and Nina Uraltseva (Saint Petersburg State U., Russia) introduce non-experts--especially graduate students just beginning their research--to recent developments and new methods in the regularity of free boundaries, one of the research directions in free boundary problems. Focusing on obstacle-type problems, they cover model problems, the optimal regularity of solutions, preliminary analysis of the free boundary, first results and uniform results of regularity of the free boundary, global solutions, the singular set, touch with the fixed boundary, and the thin obstacle problem. The text can be used in a graduate course, but they warn that the treatment is selective rather than comprehensive or systematic. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

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