A simple proof of the propagation of singularities for solutions of Hamilton-Jacobi equations

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 5 (4):439-444 (2006)
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Abstract

In Albano-Cannarsa [1] the authors proved that, under some conditions, the singularities of the semiconcave viscosity solutions of the Hamilton-Jacobi equation propagate along generalized characteristics. In this note we will provide a simple proof of this interesting result

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