Singular Integral Operators, Quantitative Flatness, and Boundary Problems
Marín, Juan José, Martell, José María, Mitrea, Dorina, Mitrea, Irina, Mitrea, Marius
Produktnummer:
186902577ab17645f79c983b6e2a635afc
| Autor: | Martell, José María Marín, Juan José Mitrea, Dorina Mitrea, Irina Mitrea, Marius |
|---|---|
| Themengebiete: | Ahlfors regular domain Boundary layer potential Boundary value problem Geometric Measure Theory Morrey space Muckenhoupt weight Muckenhoupt weighted Sobolev space Nontangentially accessible domain Singular integral operators Uniformly rectifiable domain |
| Veröffentlichungsdatum: | 30.09.2022 |
| EAN: | 9783031082337 |
| Sprache: | Englisch |
| Seitenzahl: | 601 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
Produktinformationen "Singular Integral Operators, Quantitative Flatness, and Boundary Problems"
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.
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