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# Maximal L<sub>p</sub>-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 L
_{p}-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 |

Checksum:
MD5:94a59ba133b27c35f8bae344ee242a5c

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}
}

Denk_323.pdf | 216 |