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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urn:nbn:de:bsz:352-250740
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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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ISO 690DENK, Robert, Jörg SEILER, 2013. Maximal Lp-regularity of non-local boundary value problems
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@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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