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Propagation and reflection of regularity for semilinear hyperbolic (2$$\times 2)$$ systems in one space dimension. (English) Zbl 0624.35053
The purpose of this paper is to study propagation and reflection of regularity for initial-boundary problems for semilinear strictly hyperbolic (2$$\times 2)$$ systems in two variables when the initial data are piecewise smooth and the degree of smoothness varies from point to point.
Reviewer: L.G.Vulkov
##### MSC:
 35L60 First-order nonlinear hyperbolic equations 35L50 Initial-boundary value problems for first-order hyperbolic systems 35D10 Regularity of generalized solutions of PDE (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs
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