Free boundary problems : regularity properties near the fixed boundary /
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| Author / Creator: | Apushkinskaya, Darya, author. |
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| Imprint: | Cham, Switzerland : Springer, 2018. |
| Description: | 1 online resource (xvii, 146 pages) : color illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 2218 Lecture notes in mathematics (Springer-Verlag) ; 2218. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11706271 |
| Summary: | 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. <br> 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. <br> The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries. |
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| Physical Description: | 1 online resource (xvii, 146 pages) : color illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783319970790 3319970798 9783319970783 331997078X 9783319970806 3319970801 |
| ISSN: | 0075-8434 ; |