Progress in Mathematics

Marín, Juan José; Martell, José María; Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

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.

Details

Published by: Birkhäuser

Publication Date: 2022-09-30

Format: Hardcover

ISBN-13: 9783031082337

DOI: 10.1007/978-3-031-08234-4

Dimensions: 235cm x155cm

Pages: 601