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Hyperbolic stefan problem in a curvilinear sector

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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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Authors
  1. H. I. Berehova
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  2. V. M. Kyrylych
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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

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