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Elliptic Boundary Value Problems with Fractional Regularity Data : The First Order Approach.
・ISBN 978-1-4704-4250-7 hard US$ 130.00
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| 著者・編者 | Amenta, Alex / Auscher, Pascal, |
|---|---|
| シリーズ | CRM Monograph Series |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2018 |
| ページ数 | 152 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13322＞ |
解説
In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.
This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.
This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.