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    Semideterministic Global Optimization Method: Application to a Control Problem of the Burgers Equation

    This paper has two objectives. We introduce a new global optimization algorithm reformulating optimization problems in terms of boundary-value problems. Then, we apply this algorithm to a pointwise control pr...

    B. Ivorra, A. M. Ramos, B. Mohammadi in Journal of Optimization Theory and Applications (2007)

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    Pointwise Control of the Burgers Equation and Related Nash Equilibrium Problems: Computational Approach

    This article is concerned with the numerical solution of multiobjective control problems associated with nonlinear partial differential equations and more precisely the Burgers equation. For this kind of probl...

    A.M. Ramos, R. Glowinski, J. Periaux in Journal of Optimization Theory and Applications (2002)

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    Nash Equilibria for the Multiobjective Control of Linear Partial Differential Equations

    This article is concerned with the numerical solution of multiobjective control problems associated with linear partial differential equations. More precisely, for such problems, we look for the Nash equilibri...

    A.M. Ramos, R. Glowinski, J. Periaux in Journal of Optimization Theory and Applications (2002)

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    On the Approximate Controllability of Some Semilinear Parabolic Boundary-Value Problems

    We prove the approximate controllability of several nonlinear parabolic boundary-value problems by means of two different methods: the first one can be called a Cancellation method and the second one uses the K...

    J. I. Díaz, J. Henry, A. M. Ramos in Applied Mathematics and Optimization (1998)