Regularity of free boundaries in obstacletype problems
 Author/Creator
 Petrosyan, Arshak, 1975
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2012.
 Physical description
 x, 221 p. : ill ; 27 cm.
 Series
 Graduate studies in mathematics ; v. 136.
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Available online

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QA379 .P486 2012

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QA379 .P486 2012
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 201210) and index.
 Publisher's Summary
 The regularity theory of free boundaries flourished during the late 1970s and early 1980s and had a major impact in several areas of mathematics, mathematical physics, and industrial mathematics, as well as in applications. Since then the theory continued to evolve. Numerous new ideas, techniques, and methods have been developed, and challenging new problems in applications have arisen. The main intention of the authors of this book is to give a coherent introduction to the study of the regularity properties of free boundaries for a particular type of problems, known as obstacletype problems. The emphasis is on the methods developed in the past two decades. The topics include optimal regularity, nondegeneracy, rescalings and blowups, classification of global solutions, several types of monotonicity formulas, Lipschitz, $C^1$, as well as higher regularity of the free boundary, structure of the singular set, touch of the free and fixed boundaries, and more. The book is based on lecture notes for the courses and minicourses given by the authors at various locations and should be accessible to advanced graduate students and researchers in analysis and partial differential equations.
(source: Nielsen Book Data)
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Bibliographic information
 Publication date
 2012
 Responsibility
 Arshak Petrosyan, Henrik Shahgholian, Nina Uraltseva.
 Series
 Graduate studies in mathematics ; v. 136
 ISBN
 9780821887943 (alk. paper)
 0821887947 (alk. paper)