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On qualitative properties of solutions of some hyperbolic systems on the plane. (Russian) Zbl 0659.35064

Initial-boundary value problems for semilinear hyperbolic systems are considered. In the linear case, estimates for the solution uniformly with respect to t are obtained. On the base of these estimates a theorem on the stability of the stationary solution is proved.
Reviewer: L.G.Vulkov

MSC:

35L60 First-order nonlinear hyperbolic equations
35L50 Initial-boundary value problems for first-order hyperbolic systems
35B35 Stability in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
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