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

Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 122
Release :
ISBN-10 : 9781470419899
ISBN-13 : 1470419890
Rating : 4/5 (890 Downloads)

Book Synopsis Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces by : Ariel Barton:

Download or read book Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces written by Ariel Barton: and published by American Mathematical Soc.. This book was released on 2016-09-06 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable t-independent coefficients in spaces of fractional smoothness, in Besov and weighted Lp classes. The authors establish: (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 Lp space automatically assures their solvability in an extended range of Besov spaces; (3) Well-posedness for the non-homogeneous boundary value problems. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.


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