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Singular Integral Operators, Quantitative Flatness, and Boundary Problems. 1st ed. 2022.
・ISBN 978-3-031-08233-7 hard EUR 99.99
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| 著者・編者 | Marin, Juan Jose / Martell, Jose Maria / Mitrea, Dorina / Mitrea, Irina / Mitrea, Marius, |
|---|---|
| シリーズ | Progress in Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2022 |
| ページ数 | 601 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-6311> |
解説
This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems - as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis - will find this text to be a valuable addition to the mathematical literature.