Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces

This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solvability of th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Barton, Ariel, Mayboroda, Svitlana
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2016
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Besov spaces
Boundary value problems
Elliptic operators
Elliptic equation
weighted Sobolev space
boundary-value problem
Besov space
ISBN:1470419890, 9781470419899
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solvability of the Dirichlet or Neumann boundary value problem at any given (3) Well-posedness for the non-homogeneous boundary value problems. In particular, we prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric coefficients.
Bibliographie:Includes bibliographical references
Volume 243, number 1149 (second of 4 numbers), September 2016
ISBN:1470419890
9781470419899
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1149