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Optimal control for evolution equations with memory

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Abstract

In this paper, we investigate the existence and regularity of solutions for Bolza optimal control problems in infinite dimension governed by a class of semilinear evolution equations. Our results apply to systems exhibiting hereditary properties, as heat propagation in real conductors and isothermal viscoelasticity, described by equations with memory terms which account for the past history of the variables in play.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Roma, Italy

    P. Cannarsa

  2. Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), 4 place Jussieu, 75252, Paris, France

    H. Frankowska

  3. Dipartimento di Matematica, “F.Brioschi” Politecnico di Milano, piazza Leonardo da Vinci 32, 20133, Milano, Italy

    E. M. Marchini

Authors
  1. P. Cannarsa
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  2. H. Frankowska
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  3. E. M. Marchini
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Correspondence to P. Cannarsa.

Additional information

This work was co-funded by the European Union under the 7th Framework Programme “FP7-PEOPLE-2010-ITN”, grant agreement number 264735-SADCO.

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Cannarsa, P., Frankowska, H. & Marchini, E.M. Optimal control for evolution equations with memory. J. Evol. Equ. 13, 197–227 (2013). https://doi.org/10.1007/s00028-013-0175-5

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