Determination of parameters in telegraph equation
DOI:
https://doi.org/10.13108/2017-9-1-62Keywords:
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.Downloads
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20.03.2017
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