Ebook: Singular Integral Operators, Quantitative Flatness, and Boundary Problems
- Genre: Mathematics // Operator Theory
- Series: Progress in Mathematics 344
- Year: 2022
- Publisher: Birkhäuser
- City: Cham
- Language: English
- pdf
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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