Formation of singularities for viscosity solutions of Hamilton-Jacobi equations
Shyuichi Izumiya, Georgios Kossioris (1996)
Banach Center Publications
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Shyuichi Izumiya, Georgios Kossioris (1996)
Banach Center Publications
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Marc Chaperon (2003)
Banach Center Publications
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In the first half of the paper, we consider singularities of infinitesimal contact transformations and first order partial differential equations, the main results being related to the classical Sternberg-Chen theorem for hyperbolic germs of vector fields. The second half explains how to construct global generating phase functions for solutions of Hamilton-Jacobi equations and see what their singularities look like.
G. Barles (1984)
Annales de l'I.H.P. Analyse non linéaire
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Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
Hitoshi Ishii (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.
L. Ambrosio, P. Cannarsa, H. M. Soner (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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