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

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

2008-01-24

arxiv.org/abs/0801.3748v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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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