Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: Creation and propagation

Abstract

The creation and propagation of jump discontinuities in the solutions of semilinear strictly hyperbolic systems is studied in the case where the initial data has a discrete set, { x i } i =1 n , of jump discontinuities. Let S be the smallest closed set which satisfies: (i) S is a union of forward characteristics.