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

Authors
  • Denk, R.
  • Saal, J.
  • Seiler, J.
Type
Published Article
Publication Date
Jan 24, 2008
Submission Date
Jan 24, 2008
Source
arXiv
License
Unknown
External links

Abstract

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

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