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- W2728497588 abstract "We consider an optimal control on networks in the spirit of the works of Achdou et al. [ NoDEA Nonlinear Differ. Equ. Appl. 20 (2013) 413–445] and Imbert et al. [ ESAIM: COCV 19 (2013) 129–166]. The main new feature is that there are entry (or exit) costs at the edges of the network leading to a possible discontinuous value function. We characterize the value function as the unique viscosity solution of a new Hamilton-Jacobi system. The uniqueness is a consequence of a comparison principle for which we give two different proofs, one with arguments from the theory of optimal control inspired by Achdou et al. [ ESAIM: COCV 21 (2015) 876–899] and one based on partial differential equations techniques inspired by a recent work of Lions and Souganidis [ Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27 (2016) 535–545]." @default.
- W2728497588 created "2017-07-14" @default.
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- W2728497588 date "2019-01-01" @default.
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- W2728497588 title "Hamilton-Jacobi equations for optimal control on networks with entry or exit costs" @default.
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- W2728497588 doi "https://doi.org/10.1051/cocv/2018003" @default.
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