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

Barton, Ariel; Mayboroda, Svitlana

Brossura

ISBN 10: 1470419890 ISBN 13: 9781470419899

Casa editrice: Amer Mathematical Society, 2016

Riassunto

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.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1470419890
• ISBN 13: 9781470419899
• Rilegatura: Copertina flessibile
• Numero di pagine: 110
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile