Abstract
We establish conditions for the existence and uniqueness of a solution of a quasilinear mixed problem for a quasiwave equation.
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A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).
Yu. A Mitropol'skii, G. P. Khoma, and M. I. Gromyak Asymptotic Methods for the Investigation of Quasiwave Equations of Hyperbolic Type [in Russian], Naukova Dumka, Kiev (1991).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 9, pp. 1182–1185, September, 1997.
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Kolomiets, V.G., Komashinskaya, I.V. On the existence of a solution of a quasilinear mixed problem for a quasiwave equation. Ukr Math J 49, 1330–1334 (1997). https://doi.org/10.1007/BF02487340
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DOI: https://doi.org/10.1007/BF02487340