Denk, Robert and Dore, Giovanni and Hieber, Matthias and Pruess, Jan and Venni, Alberto (2004) New thoughts on old results of R.T. Seeley. MATHEMATISCHE ANNALEN, 328 (4). pp. 545-583. ISSN 0025-5831, 1432-1807
Full text not available from this repository. (Request a copy)Abstract
In this paper we show that the L-p-realization of a vector-valued elliptic boundary value problem (A,B-j) admits a bounded (infinity)-calculus on L-p(G;E), 1<p<infinity, provided the top-order coefficients of are Holder continuous. Here G denotes a domain in (n) with compact C-2m-boundary and E a Banach space of class . Our proof is based on an abstract perturbation result for operators admitting bounded (infinity)-calculus and kernel estimates for the solution of (A,B-j).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INFINITY FUNCTIONAL-CALCULUS; DIFFERENTIAL-OPERATORS; STOKES OPERATOR; SPACES; DOMAINS; POWERS; COEFFICIENTS; REGULARITY; BOUNDARY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Jul 2021 09:09 |
| Last Modified: | 21 Jul 2021 09:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37826 |
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