Free Boundary Problems

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Free Boundary Problems is written by Darya Apushkinskaya and published by Springer. It's available with International Standard Book Number or ISBN identification 3319970798 (ISBN 10) and 9783319970790 (ISBN 13).

This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.