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- W1566271755 abstract "Optimal control problems for possibly discontinuous entropy solutions of nonlinear multidimensional conservation laws with controls in source term and initial condition are considered. The control-to-state-mapping is analyzed by using monotone difference schemes and existence results for optimal controls are proven. Moreover, a result on the convergence of optimal solutions of finite dimensional approximations to solutions of the original problem is given. In the 1-D case the theory of compensated compactness is used to prove that the control-to-state-mapping is compact from L ∞ to C([0, T]; L 1 loc) which ensures the existence of optimal controls under very weak assumptions." @default.
- W1566271755 created "2016-06-24" @default.
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- W1566271755 date "1999-01-01" @default.
- W1566271755 modified "2023-09-25" @default.
- W1566271755 title "On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws" @default.
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- W1566271755 doi "https://doi.org/10.1007/978-3-0348-8691-8_25" @default.
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