Free boundary problems : regularity properties near the fixed boundary /
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| Author / Creator: | Apushkinskaya, Darya, author. |
|---|---|
| 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 |
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| 100 | 1 | |a Apushkinskaya, Darya, |e author. |0 http://id.loc.gov/authorities/names/nb2015000937 | |
| 245 | 1 | 0 | |a Free boundary problems : |b regularity properties near the fixed boundary / |c Darya Apushkinskaya. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2018. | |
| 300 | |a 1 online resource (xvii, 146 pages) : |b color illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 2218 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed September 26, 2018). | |
| 520 | |a "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 C¹-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"--Print version, page 4 of cover. | ||
| 650 | 0 | |a Boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh85016102 | |
| 650 | 1 | 4 | |a Analysis. |0 http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 | 2 | 4 | |a Calculus of Variations and Optimal Control; Optimization. |0 http://scigraph.springernature.com/things/product-market-codes/M26016 |
| 650 | 7 | |a Calculus of variations. |2 bicssc | |
| 650 | 7 | |a Calculus & mathematical analysis. |2 bicssc | |
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| 650 | 7 | |a Mathematics |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Boundary value problems. |2 fast |0 (OCoLC)fst00837122 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Apushkinskaya, Darya. |t Free boundary problems. |d Cham, Switzerland : Springer, [2018] |z 9783319970783 |w (DLC) 2018952878 |w (OCoLC)1042077770 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 2218. |x 0075-8434 |0 http://id.loc.gov/authorities/names/n42015165 | |
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