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

Files

preprint_236.pdf(540.15 KB)

Date

2007

Authors

Denk, Robert

Saal, Jürgen

Seiler, Jörg

Series

Konstanzer Schriften in Mathematik und Informatik; 236

Publication type

Preprint

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

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

Cite This

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@unpublished{Denk2007Bound-612,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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