Maximal Lp-regularity of non-local boundary value problems

Denk, Robert; Seiler, Jörg

Maximal L_p-regularity of non-local boundary value problems

Publikationstyp:	Working Paper/Technical Report
URI (zitierfähiger Link):	http://nbn-resolving.de/urn:nbn:de:bsz:352-250740
Autor/innen:	Denk, Robert; Seiler, Jörg
Erscheinungsjahr:	2013
Schriftenreihe:	Konstanzer Schriften in Mathematik ; 323
Zusammenfassung:	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_p-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.
MSC-Klassifikation:	35S15, 35K50
Fachgebiet (DDC):	510 Mathematik
Schlagwörter:	Boutet de Monvel calculus, maximal Lp-regularity, R-boundedness
Link zur Lizenz:	Nutzungsbedingungen
Universitätsbibliographie:	Ja

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DENK, Robert, Jörg SEILER, 2013. Maximal L_p-regularity of non-local boundary value problems

@techreport{Denk2013Maxim-25074, series={Konstanzer Schriften in Mathematik}, title={Maximal L_p-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 Lp-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 Lp-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides. eng