Abstract

WE HAVE previously outlined a theory [l] which describes the relationship between Thorn’s catastrophes and the singularities of solutions of partial differential equations. Our analysis of generic singularities of solutions of first order partial differential equations was based on the concept of a lagrangian manifold. This concept allows one to focus on the local nature of the results. Thorn’s book [3] indicates another viewpoint from which one can study the singularities of solutions of a first-order partial differential equation based upon the concept of an initial value problem. This note extends our previous theory to include the viewpoint of Thorn.

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