N. N. Subbotina, L. G. Shagalova, “Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space”, Trudy Mat. Inst. Steklova, 2012, Volume 277,Pages <nobr>243

This article is cited in 6 papers

Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space

N. N. Subbotina^ab, L. G. Shagalova^a

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
^b Ural Federal University Named after the First President of Russia B. N. Yeltsin, Yekaterinburg, Russia

Abstract: A Cauchy problem is considered for a Hamilton–Jacobi equation that preserves the Bellman type in a spatially bounded strip. Sufficient conditions are obtained under which there exists a continuous generalized (minimax/viscosity) solution to this problem with a given structure in the strip. A construction of this solution is presented.

UDC: 517.95+517.977

Received in February 2012