Maximal Lp-regularity of non-local boundary value problems

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.
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

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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} }

2013-11-14T09:26:09Z Denk, Robert Denk, Robert terms-of-use Seiler, Jörg 2013-11-14T09:26:09Z 2013 Seiler, Jörg Maximal L<sub>p</sub>-regularity of non-local boundary value problems 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 L<sub>p</sub>-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides. eng

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