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

Barton, Ariel; Mayboroda, Svitlana

Couverture souple

ISBN 10 : 1470419890 ISBN 13 : 9781470419899

Editeur : American Mathematical Society, 2016

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 $L^p$ 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 $L^p$ 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.

A propos du livre

À propos de l?auteur

Ariel Barton, University of Arkansas, Fayetteville, USA.

Svitlana Mayboroda, University of Minnesota, Minneapolis, USA.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1470419890
• ISBN 13: 9781470419899
• Reliure: Broché
• Nombre de pages: 110
• Coordonnées du fabricant: non disponible