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.
| ISBN: | 9783319970783 |
| Publication date: | 21st September 2018 |
| Author: | Darya Apushkinskaya |
| Publisher: | Springer International Publishing AG |
| Format: | Paperback |
| Pagination: | 146 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Calculus and mathematical analysis Optimization |
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.
Free Boundary Problems features in the following genres: Calculus and mathematical analysis, Optimization
Free Boundary Problems is available in Paperback
Free Boundary Problems was written by Darya Apushkinskaya and published by Springer International Publishing AG
Free Boundary Problems has 146 pages
Yes it is part of Lecture Notes in Mathematics series
£31.49