Discrete Fourier multipliers and cylindrical boundary value problems

Denk, Robert; Nau, Tobias

Discrete Fourier multipliers and cylindrical boundary value problems

Dateien

279Denk.pdfGröße: 567.66 KBDownloads: 250

Datum

2011

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

We consider operator-valued boundary value problems in (0;2π)n with periodic or, more generally, v-periodic boundary conditions. Using the concept of discrete vector-valued Fourier multipliers, we give equivalent conditions for the unique solvability of the boundary value problem. As an application, we study vector-valued parabolic initial boundary value problems in cylindrical domains (0;2π)n x V with v-periodic boundary conditions in the cylindrical directions. We show that under suitable assumptions on the coefficients, we obtain maximal Lq-regularity for such problems.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Discrete Fourier multipliers, maximal regularity, bounded cylindrical domains

Zitieren

ISO 690

DENK, Robert, Tobias NAU, 2011. Discrete Fourier multipliers and cylindrical boundary value problems

BibTex

@techreport{Denk2011Discr-12627,
  year={2011},
  series={Konstanzer Schriften in Mathematik},
  title={Discrete Fourier multipliers and cylindrical boundary value problems},
  number={279},
  author={Denk, Robert and Nau, Tobias}
}

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