Maximal Lp-regularity of non-local boundary value problems
Maximal Lp-regularity of non-local boundary value problems
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2013
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Konstanzer Schriften in Mathematik; 323
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Abstract
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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510 Mathematics
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Boutet de Monvel calculus,maximal Lp-regularity,R-boundedness
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DENK, Robert, Jörg SEILER, 2013. Maximal Lp-regularity of non-local boundary value problemsBibTex
@techreport{Denk2013Maxim-25074, year={2013}, series={Konstanzer Schriften in Mathematik}, title={Maximal L<sub>p</sub>-regularity of non-local boundary value problems}, number={323}, author={Denk, Robert and Seiler, Jörg} }
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