Singular Integral Operators, Quantitative Flatness, and Boundary Problems
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Overview
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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Details
- ISBN-13: 9783031082368
- ISBN-10: 3031082362
- Publisher: Birkhauser
- Publish Date: October 2023
- Dimensions: 9.21 x 6.14 x 1.24 inches
- Shipping Weight: 1.86 pounds
- Page Count: 601
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