Type of Publication: | Working Paper/Technical Report |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-250740 |
Author: | Denk, Robert; Seiler, Jörg |
Year of publication: | 2013 |
Series: | Konstanzer Schriften in Mathematik ; 323 |
Summary: |
We investigate the R-boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are R-bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal Lp-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.
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MSC Classification: | 35S15, 35K50 |
Subject (DDC): | 510 Mathematics |
Keywords: | Boutet de Monvel calculus, maximal Lp-regularity, R-boundedness |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
DENK, Robert, Jörg SEILER, 2013. Maximal Lp-regularity of non-local boundary value problems
@techreport{Denk2013Maxim-25074, series={Konstanzer Schriften in Mathematik}, title={Maximal Lp-regularity of non-local boundary value problems}, year={2013}, number={323}, author={Denk, Robert and Seiler, Jörg} }
Denk_323.pdf | 216 |