Geodesic
Controllability for a Nonlinear Abstract Evolution Equation
Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 553-567

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a theorem on the local controllability of a system described by a nonlinear evolution equation in Banach space when the control is a multiplier on the right-hand side. We obtain sufficient conditions on the size of the neighborhood from which we can take the function from the overdetermination condition so that the inverse problem is uniquely solvable. 
@article{MZM_2004_76_4_a7,
     author = {A. V. Rozanova},
     title = {Controllability for a {Nonlinear} {Abstract} {Evolution} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {553--567},
     publisher = {mathdoc},
     volume = {76},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a7/}
}
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A. V. Rozanova. Controllability for a Nonlinear Abstract Evolution Equation. Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 553-567. http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a7/