On the propagation of singularities of semi-convex functions
L. Ambrosio, P. Cannarsa, H. M. Soner (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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L. Ambrosio, P. Cannarsa, H. M. Soner (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Yifeng Yu (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
G. Alberti, L. Ambrosio, P. Cannarsa (1992)
Manuscripta mathematica
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Alexandru Dimca (1984)
Mathematische Annalen
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Donchev, Tzanko, Angelov, Vasil (1997)
International Journal of Mathematics and Mathematical Sciences
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Bernhard Ruf (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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C. T. C. Wall (1980)
Compositio Mathematica
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