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Inhomogeneous boundary value problems in spaces of higher regularity

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Denk_243834.pdf
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2013

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http://nbn-resolving.de/urn:nbn:de:bsz:352-243834
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Zusammenfassung

Uniform a priori estimates for parameter-elliptic boundary value problems are well-known if the underlying basic space equals Lp(Ω). However, much less is known for the Wsp(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.

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Fachgebiet (DDC)
510 Mathematik

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Boundary value problems, higher order Sobolev spaces, parameterellipticity, resolvent estimates

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ISO 690DENK, Robert, Tim SEGER, 2013. Inhomogeneous boundary value problems in spaces of higher regularity
BibTex
@techreport{Denk2013Inhom-24383,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Inhomogeneous boundary value problems in spaces of higher regularity},
  number={319},
  author={Denk, Robert and Seger, Tim}
}
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