Abstract:
We consider the inverse problems with
an unknown coefficient a for a pseudohyperbolic equation
utt−Δu−Δutt+au=f(x,t) and investigate the solvability of the
problem. We prove the theorems of the existence of the
problem's regular solutions. The distinctiveness of the
problems is a presence of new overdetermination conditions for
the considered class of equations.
Citation:
A. I. Kozhanov, R. R. Safiullova, “On some class of the pseudohyperbolic equations with an unknown coefficient”, Chelyab. Fiz.-Mat. Zh., 7:2 (2022), 164–180
\Bibitem{KozSaf22}
\by A.~I.~Kozhanov, R.~R.~Safiullova
\paper On some class of the pseudohyperbolic equations with an unknown coefficient
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2022
\vol 7
\issue 2
\pages 164--180
\mathnet{http://mi.mathnet.ru/chfmj280}
\crossref{https://doi.org/10.47475/2500-0101-2022-17203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4460043}
Linking options:
https://www.mathnet.ru/eng/chfmj280
https://www.mathnet.ru/eng/chfmj/v7/i2/p164
This publication is cited in the following 1 articles:
Elvin Azizbayov, Yaşar Mehraliyev, “On an inverse boundary-value problem for the pseudohyperbolic equation with nonclassical boundary conditions”, Hacettepe Journal of Mathematics and Statistics, 54:1 (2025), 142
Citation in format AMSBIB
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