Maximal Lp-regularity of non-local boundary value problems

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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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