The functional calculus approach

  • Tobias Nau


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].


Banach Space Dirichlet Boundary Condition Lipschitz Domain Canonical Extension Bound Lipschitz Domain 
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Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden 2012

Authors and Affiliations

  • Tobias Nau
    • 1
  1. 1.KonstanzGermany

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