Format:
viii, 601 Seiten
,
Illustrationen
,
25 cm
ISBN:
9783031082337
,
3031082338
Series Statement:
Progress in mathematics volume 344
Content:
Introduction -- Geometric Measure Theory -- Calderon-Zygmund Theory for Boundary Layers in UR Domains -- Boundedness and Invertibility of Layer Potential Operators -- Controlling the BMO Semi-Norm of the Unit Normal -- Boundary Value Problems in Muckenhoupt Weighted Spaces -- Singular Integrals and Boundary Problems in Morrey and Block Spaces -- Singular Integrals and Boundary Problems in Weighted Banach Function Spaces.
Content:
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.
Note:
"Published under the imprint Birkhäuser by the registered company Springer Nature Switzerland AG" - Impressum
Additional Edition:
ISBN 9783031082344
Additional Edition:
Erscheint auch als Online-Ausgabe Marín, Juan José. Singular Integral Operators, Quantitative Flatness, and Boundary Problems Cham : Springer International Publishing, 2022 ISBN 9783031082344
Language:
English
Keywords:
Singulärer Integraloperator
;
Elliptisches Randwertproblem
;
Geometrische Maßtheorie
;
Funktion beschränkter mittlerer Oszillation
;
Potenzialoperator
;
Gewichteter Funktionenraum
DOI:
10.1007/978-3-031-08234-4
Author information:
Mitrea, Dorina 1965-
Author information:
Mitrea, Marius
