Inhomogeneous boundary value problems in spaces of higher regularity

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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, Robert Inhomogeneous boundary value problems in spaces of higher regularity eng 2013-09-18T12:39:21Z deposit-license Seger, Tim Denk, Robert Seger, Tim Uniform a priori estimates for parameter-elliptic boundary value problems are well-known if the underlying basic space equals L<sup>p</sup>(Ω). However, much less is known for the W<sup>s</sup><sub>p</sub>(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. 2013 2013-09-18T12:39:21Z

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

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