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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1998 Volume 62, Issue 2, Pages 193–224 (Mi im180)

This article is cited in 8 papers

A boundary-value problem for hyperbolic equations

S. D. Troitskaya


Abstract: The purpose of this paper is to study the following boundary-value problem for a hyperbolic equation with two independent variables: find the solution of this equation satisfying the boundary conditions given on two smooth curves. The curves emanate from a common point and lie inside the characteristic angle with its vertex at this point.

MSC: 35L20, 35Q35

Received: 24.11.1995

DOI: 10.4213/im180


 English version:
Izvestiya: Mathematics, 1998, 62:2, 399–428

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© Steklov Math. Inst. of RAS, 2026