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Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Progress in Mathematics, 344)
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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 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.
| Publisher | Birkhäuser |
| Publication date | September 30, 2022 |
| Edition | 2022nd |
| Language | English |
| Print length | 609 pages |
| ISBN-10 | 3031082338 |
| ISBN-13 | 978-3031082337 |
| Item Weight | 2.15 pounds (980 grams) |
| Dimensions | 6.25 x 1.5 x 9.25 inches (15.9 x 3.8 x 23.5 cm) |
Product Description
Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Progress in Mathematics, 344)
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