Towards an L1-theory for vector-valued elliptic boundary value problems
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IANNELLI, Mimmo, ed. and others. Evolution Equations : Applications to Physics, Industry, Life Sciences and Economics. Basel: Birkhäuser, 2003, pp. 141-147. Available under: doi: 10.1007/978-3-0348-8085-5_10
Zusammenfassung
In this note, we consider vector-valued boundary value problems with constant coefficients in the L1-setting for a half space. We assume the Lopatinskii-Shapiro condition to be true and obtain a representation of the solution u of the elliptic problem by integral operators which allows to deduce a-priori estimates for u in the L1-norm. These estimates imply in particular that the L1-realization of an elliptic boundary value problem with constant coefficients in the half space generates an analytic C0-semigroup.
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510 Mathematik
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DENK, Robert, Matthias HIEBER, Jan PRÜSS, 2003. Towards an L1-theory for vector-valued elliptic boundary value problems. In: IANNELLI, Mimmo, ed. and others. Evolution Equations : Applications to Physics, Industry, Life Sciences and Economics. Basel: Birkhäuser, 2003, pp. 141-147. Available under: doi: 10.1007/978-3-0348-8085-5_10BibTex
@incollection{Denk2003Towar-575, year={2003}, doi={10.1007/978-3-0348-8085-5_10}, title={Towards an L1-theory for vector-valued elliptic boundary value problems}, publisher={Birkhäuser}, address={Basel}, booktitle={Evolution Equations : Applications to Physics, Industry, Life Sciences and Economics}, pages={141--147}, editor={Iannelli, Mimmo}, author={Denk, Robert and Hieber, Matthias and Prüss, Jan} }
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