Lionel Thibault

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Here is a list of several of my articles. Send me an email if you are interested in some of them.

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  • Inclusion of Subdifferentials, Linear Well-Conditioning, and Steepest Descent Equation

    Author(s): Cabot, Thibault

    Related research area(s): Differential Inclusions

    Journal: SIAM Journal on Optimization

    Reference: 23 (2013), 552--575.

    Excitavit hic ardor milites per municipia plurima, quae isdem conterminant, dispositos et castella, sed quisque serpentes latius pro viribus repellere moliens, nunc globis confertos, aliquotiens et dispersos multitudine superabatur ingenti, quae nata et educata inter editos recurvosque ambitus montium eos ut loca plana persultat et mollia, missilibus obvios eminus lacessens et ululatu truci perterrens.

2012
2011

  • Prox-regular sets and epigraphs in uniformly convex Banach spaces: various regularities and properties

    Author(s): Bernard, Thibault, Zlateva

    Related research area(s): Functional analysis, Geometry of Banach spaces, Variational Nonsmooth Analysis

    Journal: Transactions of American Mathematical Society

    Reference: 363 (2011), 2211--2247.

  • Non coincidence of approximate and limiting subdifferentials of integral functionals

    Author(s): Jourani, Thibault

    Related research area(s): Optimal Control

    Journal: SIAM Journal on Control and Optimization

    Reference: 49 (2011), 1435--1453.

    For a locally Lipschitz integral functional defines on the space of integrable functions, the limiting subdifferential and the approximate subdifferential never coincide at a point where the integrand is not subdifferentially regular almost everywhere. The coincidence of both subdifferentials occurs on a dense set of the space of integrable functions if and only if the integrand is a convex integrand. Our results allow us to obtain Aubin's Lipschitz-like property as well as the convexity of multivalued mappings between the spaces of integrable functions. New necessary optimality conditions for some Bolza problems are also obtained.

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  • Espérances conditionnelles d'intégrandes semi-continus

    Author(s): Thibault

    Related research area(s): Set-Valued Analysis

    Journal: Annales Institut Henri Poincaré

    Reference: 17 (1981), 337--350.

    Excitavit hic ardor milites per municipia plurima, quae isdem conterminant, dispositos et castella, sed quisque serpentes latius pro viribus repellere moliens, nunc globis confertos, aliquotiens et dispersos multitudine superabatur ingenti, quae nata et educata inter editos recurvosque ambitus montium eos ut loca plana persultat et mollia, missilibus obvios eminus lacessens et ululatu truci perterrens.

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