Elliptic regularity theory by approximation methods /
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| Author / Creator: | Pimentel, Edgard A., author. |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2022. |
| Description: | xi, 190 pages ; 23 cm. |
| Language: | English |
| Series: | London Mathematical Society Lecture Note Series ; 477 London Mathematical Society lecture note series ; 477. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12917669 |
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| 020 | |a 9781009096669 |q (paperback) | ||
| 020 | |z 9781009099899 |q (PDF ebook) | ||
| 020 | |z 9781009103121 |q (PDF ebook) | ||
| 020 | |a 1009096664 |q (paperback) | ||
| 035 | |a (OCoLC)1294285202 |z (OCoLC)1294138754 | ||
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| 100 | 1 | |a Pimentel, Edgard A., |e author. |4 aut | |
| 245 | 1 | 0 | |a Elliptic regularity theory by approximation methods / |c Edgard A. Pimentel. |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2022. | |
| 300 | |a xi, 190 pages ; |c 23 cm. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a unmediated |2 rdamedia | ||
| 338 | |a volume |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v 477 | |
| 504 | |a Includes bibliographical references (pages 181-188) and index. | ||
| 505 | 0 | 0 | |t Elliptic partial differential equations -- |t Flat solutions are regular -- |t The recession strategy -- |t A regularity theory for the Isaacs equation -- |t Regularity theory for degenerate models. |
| 520 | 3 | |a "Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs - such as the Krylov-Safonov and Evans-Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ - and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described."-- |c Publisher's website. | |
| 650 | 0 | |a Elliptic functions. | |
| 650 | 7 | |a Elliptic functions. |2 fast |0 (OCoLC)fst00908173 | |
| 776 | 0 | 8 | |i Online version: |a Pimentel, Edgard A. |t Elliptic regularity theory by approximation methods. |d Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022 |z 9781009099899 |z 9781009103121 |w (OCoLC)1332962525 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 477. | |
| 929 | |a cat | ||
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| 928 | |t Library of Congress classification |a QA343.P56 2022 |l Eck |c Eck-Eck |i 13055439 | ||
| 927 | |t Library of Congress classification |a QA343.P56 2022 |l Eck |c Eck-Eck |g SEPS |b 118294088 |i 10467916 | ||