Geodesic
Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 3, pp. 731-754 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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We prove two general theorems related to the smooth dependence on data of mild solutions to evolution Cauchy problems and provide some of their applications to the Faedo-Galerkin method for approximating solutions as well as to the existence and uniqueness of periodic solutions. 
@article{BUMI_2009_9_2_3_a12,
     author = {Vidossich, Giovanni},
     title = {Smooth {Dependence} on {Initial} {Data} of {Mild} {Solutions} to {Evolution} {Equations}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {731--754},
     year = {2009},
     volume = {Ser. 9, 2},
     number = {3},
     zbl = {1186.65066},
     mrnumber = {2569301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_3_a12/}
}
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Vidossich, Giovanni. Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 3, pp. 731-754. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_3_a12/