Jin, Shuze Piecewise smooth solution of the first order semilinear hyperbolic systems in higher space dimension. (English) Zbl 0792.35114 Acta Math. Sci. 12, No. 2, 190-202 (1992). It is important to study the propagation and interaction of progressing waves of nonlinear equations in the class of piecewise smooth function. In this paper we deal with this problem for \(N\times N\) systems. MSC: 35L60 First-order nonlinear hyperbolic equations 35L40 First-order hyperbolic systems Keywords:propagation and interaction of progressing waves; piecewise smooth function PDF BibTeX XML Cite \textit{S. Jin}, Acta Math. Sci. 12, No. 2, 190--202 (1992; Zbl 0792.35114)