## Some aspects of the optimal control of distributed parameter systems |

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Some Aspects of the Optimal Control of Distributed Parameter Systems J. L. Lions Limited preview - 1972 |

Some Aspects of the Optimal Control of Distributed Parameter Systems J. L. Lions Limited preview - 1972 |

Some Aspects of the Optimal Control of Distributed Parameter Systems J. L. Lions No preview available - 1972 |

### Common terms and phrases

admits a unique algorithms apply assume Bensoussan bibliographies therein boundary conditions boundary value problem bounded set C*Cw C*Cy C*zd closed convex set closed convex subset constraints convergent cost function Dirac measure distributed parameter systems Duvaut and Lions equation equivalent exists a unique external approximation extract a subsequence free boundary function is given given in L2(Q Green's formula hence Hilbert space Hl(Q hyperbolic operator inf J(v introduce the adjoint l/ad Let us consider Let us denote Let us set linear Lions and Magenes method minimizing sequence monotone operator nonlinear boundary nonlinear P.D.E.'s nonlinear systems obtain open set optimal control Remark resp satisfies set of L2(0 Sobolev space solution Q solve spans subset of L2(0 system is given systems governed Temam uncoupling unique solution uniquely defines v e t/ad variational inequalities veUad weakly yo(x