Singular Integral Operators, Quantitative Flatness, and Boundary Problems

by José Maria Martell, Dorina Mitrea, Juan José Marín

Book 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.

• Format: Paperback
• Language: English
• ISBN: 3031082362
• ISBN13: 9783031082368
• Release Date: October 2023
• Publisher: Birkhauser
• Length: 601 Pages
• Weight: 1.86 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"