Determination of parameters in telegraph equation

Authors

  • A.I. Kozhanov
    Sobolev Institute of Mathematics, SB RAS, Acad. Koptyug av. 4, 630090, Novosibirsk, Russia
  • R.R. Safiullova
    Sobolev Institute of Mathematics, SB RAS, Acad. Koptyug av. 4, 630090, Novosibirsk, Russia

DOI:

https://doi.org/10.13108/2017-9-1-62

Keywords:

telegraph equation, unknown coefficient, inverse problems, special type integral overdetermination, regular solutions, existence.

Abstract

We study the solvability of the inverse problems on finding a solution $u(x,t)$ and an unknown coefficient $c$ for a telegraph equation $$ u_{tt}-\Delta u +cu=f(x,t). $$ We prove the theorems on the existence of the regular solutions. The feature of the problems is a presence of new overdetermination conditions for the considered class of equations.

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Published

20.03.2017