Boundary-value problems for stationary Hamilton-Jacobi and Bellman equations |
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Authors: | V. P. Maslov S. N. Samborskii |
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Affiliation: | 1. Moscow University, Moscow 2. University of Caen, France
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Abstract: | We introduce solutions of boundary-value problems for the stationary Hamilton-Jacobi and Bellman equations in functional spaces (semimodules) with a special algebraic structure adapted to these problems. In these spaces, we obtain representations of solutions in terms of “basic” ones and prove a theorem on approximation of these solutions in the case where nonsmooth Hamiltonians are approximated by smooth Hamiltonians. This approach is an alternative to the maximum principle. |
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