Abstract
This chapter extends the results from Chapter 8 in two directions. Firstly, domains given as the Cartesian product of finitely many standard domains are considered. Secondly, with a Banach space F, the cylindrical boundary value problems are F-valued and contain L(F)-valued coefficients. Here we employ the operator-valued Dunford calculus and the Kalton-Weis-Theorem. Again we first consider rather arbitrary cylindrical boundary value problems and focus on the Laplacian at the end. The results of this chapter also appear in [NS11a].
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© 2012 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden
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Nau, T. (2012). The functional calculus approach. In: Lp-Theory of Cylindrical Boundary Value Problems. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-8348-2505-6_10
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DOI: https://doi.org/10.1007/978-3-8348-2505-6_10
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-8348-2504-9
Online ISBN: 978-3-8348-2505-6
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