Bounded H-infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity

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2007
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Zusammenfassung

Parameter-ellipticity with respect to a closed subsector of the complex plane for pseudodifferential Douglis-Nirenberg systems is introduced and shown to imply the existence of a bounded H_\infty-calculus in suitable scales of Sobolev, Besov, and Hölder spaces. We also admit non pseudodifferential perturbations. Applications concern systems with coefficients of mild Hölder regularity and the generalized thermoelastic plate equations.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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Partielle Differentialgleichungen, Douglis-Nirenberg-Systeme, Parameter-Elliptizität, Pseudodifferentialoperatoren
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ISO 690DENK, Robert, Jürgen SAAL, Jörg SEILER, 2007. Bounded H-infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity
BibTex
@unpublished{Denk2007Bound-612,
  year={2007},
  title={Bounded H-infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity},
  author={Denk, Robert and Saal, Jürgen and Seiler, Jörg}
}
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