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Hyperbolic systems equivalent to the wave equation. (Russian, English) Zbl 1224.35245

Sib. Mat. Zh. 50, No. 1, 19-27 (2009); translation in Sib. Math. J. 50, No. 1, 14-21 (2009).
Summary: Some relation along an additional characteristic is constructed for a class of Friedrichs hyperbolic systems to which the wave equation is reduced. The statement is proven about preservation of a vortex. The conditions are stated for the solutions to Friedrichs hyperbolic systems of this class to remain solutions to the initial wave equation.

MSC:

35L05 Wave equation
35L40 First-order hyperbolic systems
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