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Singular Integral Operators, Quantitative Flatness, and Boundary Problems
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Singular Integral Operators, Quantitative Flatness, and Boundary Problems

2022 ed.

by Dorina Mitrea , Irina Mitrea , Jose Maria Martell , Juan Jose Marin , Marius Mitrea

Book Details

Format Hardback or Cased Book
Book Series Progress in Mathematics
ISBN-10 3031082338
ISBN-13 9783031082337
Edition 2022 ed.
Publisher Birkhauser Verlag AG
Imprint Birkhauser Verlag AG
Country of Manufacture GB
Country of Publication GB
Publication Date Sep 30th, 2022
Print length 601 Pages
Product Classification: Calculus & mathematical analysis Differential calculus & equations Integral calculus & equations
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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.
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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