2017
Том 69
№ 5

All Issues

Hyperbolic stefan problem in a curvilinear sector

Berehova H. I., Kirilich V. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1899-1906.

Citation Example: Berehova H. I., Kirilich V. M. Hyperbolic stefan problem in a curvilinear sector // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1684–1689.

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