R-sectoriality of truly cylindrical boundary value problems

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NAU, Tobias, Jürgen SAAL, 2009. R-sectoriality of truly cylindrical boundary value problems

@unpublished{Nau2009R-sec-732, title={R-sectoriality of truly cylindrical boundary value problems}, year={2009}, author={Nau, Tobias and Saal, Jürgen} }

application/pdf Saal, Jürgen Nau, Tobias We prove R-sectoriality or, equivalently, L <sup>p</sup>-maximal regularity for a class of operators on some cylindrical domains of the form &#8477;<sup>n-k</sup> x V, where V &#8834; &#8477;<sup>k</sup> is a domain with compact boundary, &#8477;<sup>k</sup>, or a half-space. Instead of extensive localization procedures, we present an elegant approach via operator valued multiplier theory, which takes advantage of the cylindrical shape of both, the domain and the operator. 2009 R-sectoriality of truly cylindrical boundary value problems 2011-03-22T17:45:39Z deposit-license 2011-03-22T17:45:39Z Saal, Jürgen eng Nau, Tobias

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