A real analyticity result for a nonlinear integral operator

Massimo Lanza de Cristoforis (1) , Paolo Musolino (2)

1 Dipartimento di Matematica Pura e Applicata [Padova]
2 IRMAR - Institut de Recherche Mathématique de Rennes

We consider a nonlinear integral operator which involves a Nemytskij type operator and which appears in the applications as a pull-back of layer potential operators. We prove an analyticity result in Schauder spaces by splitting the operator into the composition of a nonlinear operator acting into Roumieu classes and a composition operator.

Mots clés: Analyticity; integral operators; superposition operators; Roumieu classes; Schauder spaces

Domaines: Analyse numérique [math.NA]

Massimo Lanza de Cristoforis, Paolo Musolino. A real analyticity result for a nonlinear integral operator. Journal of Integral Equations and Applications, 2013, 25 (1), pp.21-46. ⟨10.1216/JIE-2013-25-1-21⟩. ⟨hal-00833577⟩