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...

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Hlavní autoři: Barton, Ariel, Mayboroda, Svitlana
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Providence, Rhode Island American Mathematical Society 2016
Vydání:1
Edice:Memoirs of the American Mathematical Society
Témata:
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
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Popis
Shrnutí: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.
Bibliografie: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