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On the optimization of the initial boundary value problem for a conservation law. - MaRDI portal

On the optimization of the initial boundary value problem for a conservation law. (Q1426067)

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scientific article; zbMATH DE number 2056497
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On the optimization of the initial boundary value problem for a conservation law.
scientific article; zbMATH DE number 2056497

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    On the optimization of the initial boundary value problem for a conservation law. (English)
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    14 March 2004
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    The authors study an initial boundary value problem (IVBP) for a scalar conservation law. It is shown that the theory of shift differentiability can be extended to this case. Then a certain functional on the solutions of IVBP is considered and a necessary condition for its stationary points are deduced by means of the obtained first order shift expansion.
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    conservation laws
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    initial boundary value problem
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    Euler-Lagrange equation
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    shift differentiability
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    first order shift expansion
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