Progress in Mathematics
1 primary work
Book 344
Singular Integral Operators, Quantitative Flatness, and Boundary Problems
by Juan Jose Marin, Jose Maria Martell, Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Published 5 September 2022
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.