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Singular integral operators, quantitative flatness, and boundary problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Singular integral operators, quantitative flatness, and boundary problemsby Juan Jose Marin ... [et al.].
other author:	Marín, Juan Jose.
Published:	Cham :Springer International Publishing :2022.
Description:	viii, 601 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Boundary value problems.
Online resource:	https://doi.org/10.1007/978-3-031-08234-4
ISBN:	9783031082344$q(electronic bk.)

Singular integral operators, quantitative flatness, and boundary problems
Singular integral operators, quantitative flatness, and boundary problems[electronic resource] /by Juan Jose Marin ... [et al.]. - Cham :Springer International Publishing :2022. - viii, 601 p. :ill., digital ;24 cm. - Progress in mathematics,v. 3442296-505X ;. - Progress in mathematics ;v.295..

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.

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.

ISBN: 9783031082344$q(electronic bk.)

Standard No.: 10.1007/978-3-031-08234-4doiSubjects--Topical Terms:

206979
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Singular integral operators, quantitative flatness, and boundary problems
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245 0 0 $a Singular integral operators, quantitative flatness, and boundary problems $h [electronic resource] / $c by Juan Jose Marin ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2022.
300 $a viii, 601 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 2296-505X ; $v v. 344
505 0 $a 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.
520 $a 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.
650 0 $a Boundary value problems. $3 206979
650 0 $a Singular integrals. $3 499462
650 0 $a Differential operators. $3 185325
650 1 4 $a Potential Theory. $3 274599
650 2 4 $a Integral Equations. $3 274836
650 2 4 $a Differential Equations. $3 285983
650 2 4 $a Measure and Integration. $3 273777
700 1 $a Marín, Juan Jose. $3 936028
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Progress in mathematics ; $v v.295. $3 558269
856 4 0 $u https://doi.org/10.1007/978-3-031-08234-4
950 $a Mathematics and Statistics (SpringerNature-11649)