Type of Publication: | Preprint |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-108385 |
Author: | Nau, Tobias; Saal, Jürgen |
Year of publication: | 2009 |
Series: | Konstanzer Schriften in Mathematik ; 264 |
Summary: |
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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MSC Classification: | 35K50; 35K35; 35J40 |
Subject (DDC): | 510 Mathematics |
Controlled Keywords (GND): | System von partiellen Differentialgleichungen |
Keywords: | Partielle Differentialgleichungen, Partial Differential Equations |
Link to License: | In Copyright |
NAU, Tobias, Jürgen SAAL, 2009. R-sectoriality of truly cylindrical boundary value problems
@unpublished{Nau2009Rsect-732, title={R-sectoriality of truly cylindrical boundary value problems}, year={2009}, author={Nau, Tobias and Saal, Jürgen} }
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