In this paper the author relates a geometric solution for the Cauchy problem to a convex Hamilton-Jacobi equation with its unique viscosity solution. The viscosity solution is shown to correspond to the inf sup of the Morse family generating the geometric solution given previously by the author [Nuovo Cimento B (11) 104 (1989), no. 5, 525--544]. Reviewed by George Kossioris
ON VISCOSITY AND GEOMETRICAL SOLUTIONS OF HAMILTON JACOBI EQUATIONS
CARDIN, FRANCO
1993
Abstract
In this paper the author relates a geometric solution for the Cauchy problem to a convex Hamilton-Jacobi equation with its unique viscosity solution. The viscosity solution is shown to correspond to the inf sup of the Morse family generating the geometric solution given previously by the author [Nuovo Cimento B (11) 104 (1989), no. 5, 525--544]. Reviewed by George KossiorisFile in questo prodotto:
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