Validity and naturalness of definitions of /spl delta/- and /spl delta/-shock type solutions to systems of conservation laws

Generalizing the classical definition of a weak L^infin-solution definitions of delta- and delta´-shocks for systems of conservation laws were introduced and the Cauchy problems admitting such singular solutions were solved. In this paper we discuss and substantiate the validity and naturalness of the above-mentioned definitions. As these definitions differ from the classical definition of a weak L^infin-solution, this problem is important