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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
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
Full Text: DOI
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