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# Inhomogeneous boundary value problems in spaces of higher regularity

Type of Publication: | Working Paper/Technical Report |

URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-243834 |

Author: | Denk, Robert; Seger, Tim |

Year of publication: | 2013 |

Series: | Konstanzer Schriften in Mathematik ; 319 |

Summary: |
Uniform a priori estimates for parameter-elliptic boundary value problems are well-known if the underlying basic space equals L
^{p}(Ω). However, much less is known for the W^{s}_{p}(Ω)-realization, s>0, of a parameter-elliptic boundary value problem. We discuss a priori estimates and the generation of analytic semigroups for these realizations in various cases. The Banach scale method can be applied for homogeneous boundary conditions if the right-hand side satis es certain compatibility conditions, while for the general case parameter-dependent norms are used. In particular, we obtain a resolvent estimate for the General situation where no analytic semigroup is generated. |

MSC Classification: | 35B45, 35J40, 47D06 |

Subject (DDC): | 510 Mathematics |

Keywords: | Boundary value problems, higher order Sobolev spaces, parameterellipticity, resolvent estimates |

Link to License: | In Copyright |

Bibliography of Konstanz: | Yes |

Checksum:
MD5:a9c554df221c104bd82e7b78f2648892

DENK, Robert, Tim SEGER, 2013. Inhomogeneous boundary value problems in spaces of higher regularity

@techreport{Denk2013Inhom-24383, series={Konstanzer Schriften in Mathematik}, title={Inhomogeneous boundary value problems in spaces of higher regularity}, year={2013}, number={319}, author={Denk, Robert and Seger, Tim} }

Denk_243834.pdf | 342 |