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Singular Integral Operators, Quantitative Flatness, and Boundary Problems (in English)
Dorina Mitrea
(Author)
·
Juan José Marín
(Author)
·
José María Martell
(Author)
·
Birkhauser
· Paperback
Singular Integral Operators, Quantitative Flatness, and Boundary Problems (in English) - Marín, Juan José ; Martell, José María ; Mitrea, Dorina
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Synopsis "Singular Integral Operators, Quantitative Flatness, and Boundary Problems (in 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.
