Geodesic
On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 126-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Cauchy problem with state constraints for the Hamilton–Jacobi equation arising in molecular biology is considered. The notion of a continuous generalized solution to the problem is introduced. Conditions are given to construct the continuous solution in bounded domains with the help of characteristics started from the initial manifold.
Keywords: Hamilton–Jacobi equations, method of characteristics, generalized solutions. 
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N. N. Subbotina; L. G. Shagalova. On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 126-127. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a60/

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