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

^*Awdur cyfatebol y gwaith hwn

Mathemateg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

38 Dyfyniadau (Scopus)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	21-46
Nifer y tudalennau	26
Cyfnodolyn	Journal of Integral Equations and Applications
Cyfrol	25
Rhif cyhoeddi	1
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1216/JIE-2013-25-1-21
Statws	Cyhoeddwyd - 2013

Mynediad at Ddogfen

10.1216/JIE-2013-25-1-21

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Link to publication in Scopus

Dyfynnu hyn

@article{c03a58a4cd6d42fea0323a4b95bf0fad,

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.",

keywords = "Analyticity, Integral operators, Roumieu classes, Schauder spaces, Superposition operators",

author = "{De Cristoforis}, {Massimo Lanza} and Paolo Musolino",

year = "2013",

doi = "10.1216/JIE-2013-25-1-21",

language = "English",

volume = "25",

pages = "21--46",

journal = "Journal of Integral Equations and Applications",

issn = "0897-3962",

publisher = "Rocky Mountain Mathematics Consortium",

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T1 - A real analyticity result for a nonlinear integral operator

AU - De Cristoforis, Massimo Lanza

AU - Musolino, Paolo

PY - 2013

Y1 - 2013

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84881508920&partnerID=8YFLogxK

U2 - 10.1216/JIE-2013-25-1-21

DO - 10.1216/JIE-2013-25-1-21

M3 - Article

AN - SCOPUS:84881508920

SN - 0897-3962

VL - 25

SP - 21

EP - 46

JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 1

ER -

A real analyticity result for a nonlinear integral operator

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