## Mathematical Theories of Optimization: Proceedings of the International Conference Held in S. Margherita Ligure (Genova), November 30-December 4, 1981 |

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### Contents

H ATTOUCH R J B WETS A convergence for bivariate functions aimed | |

BARBU Optimal feedback controls for semilinear parabolic equations | 43 |

A BENSOUSSAN On the production smoothing problem | 71 |

Copyright | |

10 other sections not shown

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### Common terms and phrases

approximate subdifferentials assume assumptions Banach space behaviour bivariate functions bounded open calculus of variations Cesari compact consider continuous convergence convex analysis convex function convex set convex-concave Corollary critical point definition denote Diagonalization Lemma differential equations directional derivative e/h-ls Fv Edited epi-converge epi/hypo-convergence equivalent existence theorem f(xQ finite dimensional function f functions defined Fv(x GIORGI gradient h/e-li Fv Hamiltonian Hence implies inequality inf f inf sup inf-compact infimum integral J.L. Lions Lemma Let f lev f lim f lim inf lim sup linear Lipschitz-continuous locally Lipschitz lower semicontinuous Math Mathematics measurable selection methods minimize minimum monotone multifunction nonempty nonlinear nonsmooth norm open set operator optimal control pair Proceedings proof Proposition prove respect result saddle point satisfies second-order directional derivative sequence of functions sequentially Sobolev space theory topology values Vlll weak topology weakly