Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Progress in Mathematics, 344)

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.

• | Author: Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
• | Publisher: Birkhäuser
• | Publication Date: Sep 30, 2022
• | Number of Pages: 609 pages
• | Language: English
• | Binding: Hardcover/Mathematics
• | ISBN-10: 3031082338
• | ISBN-13: 9783031082337