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Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space |
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| Authors: | N. N. Subbotina L. G. Shagalova |
| Affiliation: | 1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia 2. Ural Federal University Named after the First President of Russia B.N. Yeltsin, ul. Mira 19, Yekaterinburg, 620002, 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. |
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