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Classical and generalized solutions of problems for the telegraph equation with a Dirac potential

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Abstract

We obtain classical and strong generalized solutions of the Cauchy problem and the second mixed problem as well as a strong generalized solution (there does not exist a classical solution) of the first mixed problem for the telegraph equation whose right-hand side has the form γδ(x 0, t 0)u.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. I. Moiseev & N. I. Yurchuk

  2. Belarusian State University, Minsk, Belarus

    E. I. Moiseev & N. I. Yurchuk

Authors
  1. E. I. Moiseev
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  2. N. I. Yurchuk
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Corresponding author

Correspondence to E. I. Moiseev.

Additional information

Original Russian Text © E.I. Moiseev, N.I. Yurchuk, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 10, pp. 1338–1344.

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Moiseev, E.I., Yurchuk, N.I. Classical and generalized solutions of problems for the telegraph equation with a Dirac potential. Diff Equat 51, 1330–1337 (2015). https://doi.org/10.1134/S0012266115100080

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  • DOI: https://doi.org/10.1134/S0012266115100080

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