Bounded H_\infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity
Analysis of PDEs
2017-06-23 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.0801.3748,
title = {Bounded H_\infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity},
author = {R. Denk and J. Saal and J. Seiler},
journal= {arXiv preprint arXiv:0801.3748},
year = {2017}
}
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22 pages