Authors:
- Presents obstacle-type problems in the parabolic case, not just the elliptic case
- Focuses on the cases where the free and fixed boundaries meet
- Several appendices provide the reader with a detailed exposition of the deep techniques of the theory
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2218)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Saarland University, Saarbrücken, Germany
Darya Apushkinskaya
About the author
Bibliographic Information
Book Title: Free Boundary Problems
Book Subtitle: Regularity Properties Near the Fixed Boundary
Authors: Darya Apushkinskaya
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-97079-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-319-97078-3Published: 21 September 2018
eBook ISBN: 978-3-319-97079-0Published: 20 September 2018
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 146
Number of Illustrations: 10 illustrations in colour
Topics: Analysis, Calculus of Variations and Optimal Control; Optimization