Geodesic
Control problems governed by time-dependent maximal monotone operators
Saïdi, Soumia1 ; Yarou, Mustapha Fateh1
1Laboratoire LMPA, Department of Mathematics, Jijel University, Algeria.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 2, pp. 455-473

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The paper concerns on an infinite dimensional Hilbert space, the existence and uniqueness of absolutely continuous solutions, for Lipschitz single-valued perturbations of evolution problems involving maximal-monotone operators. This result allows us to extend to optimal control problems associated with such equations, the relaxation theorems with Young measures proved recently in [S. Saïdi, L. Thibault and M.F. Yarou, Numer. Funct. Anal. Optim. 34 (2013) 1156–1186].

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DOI : 10.1051/cocv/2015056
Classification : 34A60, 49A52
Keywords: Maximal monotone operators, optimal control, pseudo-distance, Lipschitz perturbation, absolutely continuous, Young measures

Saïdi, Soumia  1   ; Yarou, Mustapha Fateh  1

1 Laboratoire LMPA, Department of Mathematics, Jijel University, Algeria. 
Saïdi, Soumia; Yarou, Mustapha Fateh. Control problems governed by time-dependent maximal monotone operators. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 2, pp. 455-473. doi: 10.1051/cocv/2015056
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     title = {Control problems governed by time-dependent maximal monotone operators},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {455--473},
     year = {2017},
     publisher = {EDP-Sciences},
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