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Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators With Data in Besov Spaces (Memoirs of the American Mathematical Society) - Softcover
Synopsis
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 (1) Mapping properties for the double and single layer potentials, as well as the Newton potential (2) Extrapolation-type solvability 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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About the Author
Ariel Barton, University of Arkansas, Fayetteville, USA.Svitlana Mayboroda, University of Minnesota, Minneapolis, USA.
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Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces. Memoirs of the American Mathematical Society; Bd. volume 243, number 1149 (2nd of 4 numbers).
Published by
Providence, American Mathematical Society, 2016
ISBN 10: 1470419890
ISBN 13: 9781470419899
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03343 9781470419899 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2489250
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