Resolvent Estimates for Elliptic Systems in Function Spaces of Higher Regularity

Denk, Robert; Dreher, Michael

Resolvent Estimates for Elliptic Systems in Function Spaces of Higher Regularity

Dateien

265_dreher_denk.pdfGröße: 445.22 KBDownloads: 481

Datum

2010

Publikationstyp

Working Paper/Technical Report

Zusammenfassung

We consider parameter-elliptic boundary value problems and uniform a priori estimates in Lp-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems). It is shown that compatibility conditions on the data are necessary for such estimates to hold. In particular, we consider the realization of the boundary value problem as an unbounded operator with the ground space being a closed subspace of a Sobolev space and give necessary and sufficient conditions for the realization to generate an analytic semigroup.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Douglis-Nirenberg-Systeme, parameter-elliptisch, analytische Halbgruppen, Douglis-Nirenberg systems, parameter-ellipticity, analytic semigroups

Zitieren

ISO 690

DENK, Robert, Michael DREHER, 2010. Resolvent Estimates for Elliptic Systems in Function Spaces of Higher Regularity

BibTex

@techreport{Denk2010Resol-639,
  year={2010},
  series={Konstanzer Schriften in Mathematik},
  title={Resolvent Estimates for Elliptic Systems in Function Spaces of Higher Regularity},
  number={265},
  author={Denk, Robert and Dreher, Michael}
}

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Universitätsbibliographie

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