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

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Khusainov_247552.pdf
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2013
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Khusainov, Denys
Azizbayov, Elvin
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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.

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Fachgebiet (DDC)
510 Mathematik
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wave equation, pure delay, Fourier series, explicit solution representation
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ISO 690KHUSAINOV, 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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