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Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Paperback

Series: Progress in Mathematics, Book 344

General Mathematics

ISBN10: 3031082362
ISBN13: 9783031082368
Publisher: Birkhauser
Published: Oct 2 2023
Pages: 601
Weight: 1.86
Height: 1.24 Width: 6.14 Depth: 9.21
Language: English
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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Marín, Juan José

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General Mathematics