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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Singular Integral Operators, Quantitative Flatness, and Boundary Problems
• Author: Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
• Language: English
• Binding: Paperback
• Number of pages: 601
• EAN: 9783031082368
• ID: 44123459
• Publisher: Springer, Berlin
• Weight: 843 g
• Dimensions: 235 × 155 mm
• Date of publishing: 14. October 2023

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