Representation of classical solutions to a linear wave equation with pure delay

Khusainov, Denys; Pokojovy, Michael; Azizbayov, Elvin

Representation of classical solutions to a linear wave equation with pure delay

Dateien

Khusainov_247552.pdfGröße: 272.57 KBDownloads: 56

Datum

2013

Autor:innen

Khusainov, Denys

Pokojovy, Michael

Azizbayov, Elvin

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

For a wave equation with pure delay, we study an inhomogeneous initial-boundary value problem in a bounded 1D domain. Under smoothness assumptions, we prove unique existence of classical solutions for any given finite time horizon and give their explicit representation. Continuous dependence on the data in a weak extrapolated norm is also shown.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

wave equation, pure delay, Fourier series, explicit solution representation

Zitieren

ISO 690

KHUSAINOV, Denys, Michael POKOJOVY, Elvin AZIZBAYOV, 2013. Representation of classical solutions to a linear wave equation with pure delay

BibTex

@techreport{Khusainov2013Repre-24755,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Representation of classical solutions to a linear wave equation with pure delay},
  number={322},
  author={Khusainov, Denys and Pokojovy, Michael and Azizbayov, Elvin}
}

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Universitätsbibliographie

Ja