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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 126–127 (Mi iimi61)  
On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains

N. N. Subbotina, L. G. Shagalova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: 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.
Received: 15.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.977
MSC: 35F21, 49L25
Language: Russian
Citation: N. N. Subbotina, L. G. Shagalova, “On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains”, Izv. IMI UdGU, 2012, no. 1(39), 126–127
Citation in format AMSBIB
\Bibitem{SubSha12}
\by N.~N.~Subbotina, L.~G.~Shagalova
\paper On constructions of the generalized solution of the Hamilton--Jacobi equation in bounded domains
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 126--127
\mathnet{http://mi.mathnet.ru/iimi61}
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