Publikation: R-sectoriality of truly cylindrical boundary value problems
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2009
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Zusammenfassung
We prove R-sectoriality or, equivalently, L p-maximal regularity for a class of operators on some cylindrical domains of the form ℝn-k x V, where V ⊂ ℝk is a domain with compact boundary, ℝk, 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.
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510 Mathematik
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Partielle Differentialgleichungen, Partial Differential Equations
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NAU, Tobias, Jürgen SAAL, 2009. R-sectoriality of truly cylindrical boundary value problemsBibTex
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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