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Singular Integral Operators, Quantitative Flatness, and Boundary Problems : Progress in Mathematics - Dorina Mitrea

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

By: Dorina Mitrea, Marius Mitrea, Juan Jose Marin, Jose Maria Martell, Irina Mitrea

Hardcover | 30 September 2022

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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. Many significant new results are explored in detail that elaborate 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. Several complete proofs are presented for the first time in print. 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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