R-sectoriality of truly cylindrical boundary value problems

Nau, Tobias; Saal, Jürgen

R-sectoriality of truly cylindrical boundary value problems

Files

nau_saal_Nr_264.pdf(484.07 KB)

Date

2009

Authors

Nau, Tobias

Saal, Jürgen

Series

Konstanzer Schriften in Mathematik; 264

Publication type

Preprint

Abstract

We prove R-sectoriality or, equivalently, L ^p-maximal regularity for a class of operators on some cylindrical domains of the form ℝ^n-k x V, where V ⊂ ℝ^k is a domain with compact boundary, ℝ^k, 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.

Subject (DDC)

510 Mathematics

Keywords

Partielle Differentialgleichungen,Partial Differential Equations

Cite This

ISO 690

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

BibTex

@unpublished{Nau2009Rsect-732,
  year={2009},
  title={R-sectoriality of truly cylindrical boundary value problems},
  author={Nau, Tobias and Saal, Jürgen}
}

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