Abstract
The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t.
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Additional information
Franko Lviv State University, Lviv. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1684–1689, December, 1997.
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Berehova, H.I., Kyrylych, V.M. Hyperbolic stefan problem in a curvilinear sector. Ukr Math J 49, 1899–1906 (1997). https://doi.org/10.1007/BF02513068
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DOI: https://doi.org/10.1007/BF02513068