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

Denk, Robert; Saal, Jürgen; Seiler, Jörg

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

Dateien

preprint_236.pdfGröße: 540.15 KBDownloads: 153

Datum

2007

Publikationstyp

Preprint

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Partielle Differentialgleichungen, Douglis-Nirenberg-Systeme, Parameter-Elliptizität, Pseudodifferentialoperatoren

Zitieren

ISO 690

DENK, 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@unpublished{Denk2007Bound-612,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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