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

Files

Denk_193175.pdf(226.92 KB)

Date

2011

Publication type

Journal article

Published in

Electronic journal of differential equations ; 2011, 109. - pp. 1-12

Abstract

We consider parameter-elliptic boundary value problems and uniform a priori estimates in L^p-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.

Subject (DDC)

510 Mathematics

Keywords

Parameter-ellipticity,Douglis-Nirenberg systems,analytic semigroups

Cite This

ISO 690

DENK, Robert, Michael DREHER, 2011. Resolvent estimates for elliptic systems in function spaces of higher regularity. In: Electronic journal of differential equations(109), pp. 1-12

BibTex

@article{Denk2011Resol-19317,
  year={2011},
  title={Resolvent estimates for elliptic systems in function spaces of higher regularity},
  number={109},
  journal={Electronic journal of differential equations},
  pages={1--12},
  author={Denk, Robert and Dreher, Michael}
}

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Bibliography of Konstanz

Yes