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Singular integral operators, quantitative flatness, and boundary problems Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea

Von: Mitwirkende(r): Materialtyp: TextTextSprache: Englisch Reihen: ; 344 | Progress in mathematics ; 344Verlag: Cham, Switzerland Birkhäuser [2022]Copyright-Datum: © 2022Beschreibung: viii, 601 Seiten Illustrationen 25 cmInhaltstyp:
  • Text
Medientyp:
  • ohne Hilfsmittel zu benutzen
Datenträgertyp:
  • Band
ISBN:
  • 9783031082337
  • 3031082338
Schlagwörter: Andere physische Formen: Kein Titel; Erscheint auch als: Singular Integral Operators, Quantitative Flatness, and Boundary ProblemsAndere Klassifikation:
  • 31B10
  • 35B65
  • 35C15
  • 35J25
  • 35J57
  • 35J67
  • 42B20
  • 42B37
  • 31.47
  • 31.45
Online-Ressourcen: Zusammenfassung: 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.Zusammenfassung: 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.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Marín, Juan José.: Singular Integral Operators, Quantitative Flatness, and Boundary Problems
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Buch Buch Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik) Campusbibliothek für Informatik und Mathematik (E2 3) Series (B) PM 344 (Regal durchstöbern(Öffnet sich unterhalb)) Verfügbar 2202000617518

"Published under the imprint Birkhäuser by the registered company Springer Nature Switzerland AG" - Impressum

"Published under the imprint Birkhäuser by the registered company Springer Nature Switzerland AG" - Impressum

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.

Marín, Juan José.: Singular Integral Operators, Quantitative Flatness, and Boundary Problems

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