Hyperbolic stefan problem in a curvilinear sector
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.