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 |
Table of Contents:
- Introduction: No-sign parabolic obstacle-type problems
- Boundary estimates for solutions of free boundary problems
- Appendices
- Notes
- Open problems
- No-sign parabilic obstacle-type problems: Statement of the problem and main results
- Optimal regularity of solutions
- Useful properties of solutions
- Classification of the nonnegative global solutions
- Geometric classification of the global solutions with no sign restrictions
- Characterization of the free boundary points newar [Pi]
- Regularity properties of solutions
- Regularity properties of the free boundary
- Boundary estimates for solutions of free boundary problems: One-sided estimates up to the boundary for solutions to the elliptic obstacle problem
- Boundary estimates for solutions to the two-phase elliptic problem
- Estimates near the given boundary of the second-order derivatives for solutions to the two-phase parabolic problem
- Uniform estimates near the initial stata for solutions to the two-phase parabolic problem
- Monotonicity formulas
- Auxiliary results
- Additional facts.