Format:
1 Online-Ressource(VIII, 601 p. 5 illus., 3 illus. in color.)
Edition:
1st ed. 2022.
ISBN:
9783031082344
Series Statement:
Progress in Mathematics 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.
Additional Edition:
ISBN 9783031082337
Additional Edition:
ISBN 9783031082351
Additional Edition:
ISBN 9783031082368
Additional Edition:
Erscheint auch als Druck-Ausgabe Marín, Juan José Singular integral operators, quantitative flatness, and boundary problems Cham, Switzerland : Birkhäuser, 2022 ISBN 9783031082337
Additional Edition:
ISBN 3031082338
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031082351
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031082368
Language:
English
Keywords:
Singulärer Integraloperator
;
Elliptisches Randwertproblem
;
Geometrische Maßtheorie
;
Funktion beschränkter mittlerer Oszillation
;
Potenzialoperator
;
Gewichteter Funktionenraum
DOI:
10.1007/978-3-031-08234-4
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