Determination of parameters in telegraph equation

A. I. Kozhanov ; R. R. Safiullova

Ufa mathematical journal, Tome 9 (2017) no. 1, pp. 62-74

Résumé

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.

Détail

Keywords: telegraph equation, unknown coefficient, inverse problems, special type integral overdetermination, regular solutions
Mots-clés : existence.

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