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Regularity of Free Boundaries in Obstacle-Type Problems
About this Title
Arshak Petrosyan, Purdue University, West Lafayette, IN, Henrik Shahgholian, Royal Institute of Technology, Stockholm, Sweden and Nina Uraltseva, St. Petersburg University, St. Petersburg, Russia
Publication: Graduate Studies in Mathematics
Publication Year:
2012; Volume 136
ISBNs: 978-0-8218-8794-3 (print); 978-0-8218-8991-6 (online)
DOI: https://doi.org/10.1090/gsm/136
MathSciNet review: MR2962060
MSC: Primary 35R35; Secondary 35B65, 35Q91
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 1. Model problems
- Chapter 2. Optimal regularity of solutions
- Chapter 3. Preliminary analysis of the free boundary
- Chapter 4. Regularity of the free boundary: first results
- Chapter 5. Global solutions
- Chapter 6. Regularity of the free boundary: uniform results
- Chapter 7. The singular set
- Chapter 8. Touch with the fixed boundary
- Chapter 9. The thin obstacle problem