A real analyticity result for a nonlinear integral operator

Massimo Lanza De Cristoforis; Paolo Musolino

doi:10.1216/JIE-2013-25-1-21

A real analyticity result for a nonlinear integral operator

Massimo Lanza De Cristoforis^*, Paolo Musolino

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	21-46
Number of pages	26
Journal	Journal of Integral Equations and Applications
Volume	25
Issue number	1
DOIs	https://doi.org/10.1216/JIE-2013-25-1-21
Publication status	Published - 2013

Keywords

Analyticity
Integral operators
Roumieu classes
Schauder spaces
Superposition operators

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title = "A real analyticity result for a nonlinear integral operator",

abstract = "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.",

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AB - 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.

KW - Analyticity

KW - Integral operators

KW - Roumieu classes

KW - Schauder spaces

KW - Superposition operators

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A real analyticity result for a nonlinear integral operator

Abstract

Keywords

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