Singular Integral Operators, Quantitative Flatness, and Boundary Problems |
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Author:
| Marín, Juan José Martell, José María Mitrea, Dorina Mitrea, Irina Mitrea, Marius |
Series title: | Progress in Mathematics Ser. |
ISBN: | 978-3-031-08233-7 |
Publication Date: | Sep 2022 |
Publisher: | Springer International Publishing AG
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Imprint: | Birkhäuser |
Book Format: | Hardback |
List Price: | USD $169.99USD $109.99 |
Book Description:
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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...
More DescriptionThis 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.