Publikation: Some new thoughts on old results of R. T. Seeley
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2004
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Mathematische Annalen. 2004, 328(4), pp. 545-583
Zusammenfassung
In this paper we show that the Lp-reslization of a vector-valued elliptic boundary value problem (A,Bj) admits a bounded H-infinity calculus on Lp (G;E), p>1, provided the top-order coefficients of A are Hölder continuous. Here G denotes a domain in Rn with compact C2m-boundary and E a Banach space of class HT. Our proof is based on an abstract perturbation result for operators admitting bounded H-infinity calculus and kernel estimates for the solution of (A,Bj).
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Fachgebiet (DDC)
510 Mathematik
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elliptic boundary value problems, H∞-calculus, perturbation theory
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DENK, Robert, Giovanni DORE, Matthias HIEBER, Jan PRÜSS, Alberto VENNI, 2004. Some new thoughts on old results of R. T. Seeley. In: Mathematische Annalen. 2004, 328(4), pp. 545-583BibTex
@article{Denk2004thoug-559, year={2004}, title={Some new thoughts on old results of R. T. Seeley}, number={4}, volume={328}, journal={Mathematische Annalen}, pages={545--583}, author={Denk, Robert and Dore, Giovanni and Hieber, Matthias and Prüss, Jan and Venni, Alberto} }
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