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).

Barton, Ariel; Mayboroda, Svitlana

ISBN 10: 1470419890 / ISBN 13: 9781470419899

Editore: Providence, American Mathematical Society, 2016

Riguardo questo articolo

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03343 9781470419899 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2489250

Dati bibliografici

• Titolo: 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).
• Editore: Providence, American Mathematical Society
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1470419890
• ISBN 13: 9781470419899
• Rilegatura: Softcover
• Peso: 550 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

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.