Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions

Matteo Dalla Riva; Massimo Lanza de Cristoforis; Paolo Musolino

doi:10.1007/s00020-015-2236-3

Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions

Matteo Dalla Riva, Massimo Lanza de Cristoforis^*, Paolo Musolino

^*Awdur cyfatebol y gwaith hwn

Adran Mathemateg

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

5 Dyfyniadau (Scopus)

Crynodeb

We show that volume potentials associated to a parameter dependent analytic family of weakly singular kernels depend real-analytically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with constant coefficients.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	371-393
Nifer y tudalennau	23
Cyfnodolyn	Integral Equations and Operator Theory
Cyfrol	82
Rhif cyhoeddi	3
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s00020-015-2236-3
Statws	Cyhoeddwyd - 12 Gorff 2015

Mynediad at Ddogfen

10.1007/s00020-015-2236-3

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Link to publication in Scopus

Dyfynnu hyn

@article{ba4660dfe02946c9ba8ac2f6652887ba,

title = "Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions",

abstract = "We show that volume potentials associated to a parameter dependent analytic family of weakly singular kernels depend real-analytically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with constant coefficients.",

keywords = "domain perturbation, second order differential operators with constant coefficients, special nonlinear operators, Volume potentials",

author = "{Dalla Riva}, Matteo and {Lanza de Cristoforis}, Massimo and Paolo Musolino",

year = "2015",

month = jul,

day = "12",

doi = "10.1007/s00020-015-2236-3",

language = "English",

volume = "82",

pages = "371--393",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Springer Nature",

number = "3",

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TY - JOUR

T1 - Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions

AU - Dalla Riva, Matteo

AU - Lanza de Cristoforis, Massimo

AU - Musolino, Paolo

PY - 2015/7/12

Y1 - 2015/7/12

N2 - We show that volume potentials associated to a parameter dependent analytic family of weakly singular kernels depend real-analytically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with constant coefficients.

AB - We show that volume potentials associated to a parameter dependent analytic family of weakly singular kernels depend real-analytically upon the density function and on the parameter. Then we consider the special case in which the analytic family corresponds to a family of fundamental solutions of second order differential operators with constant coefficients.

KW - domain perturbation

KW - second order differential operators with constant coefficients

KW - special nonlinear operators

KW - Volume potentials

UR - http://www.scopus.com/inward/record.url?scp=84930762034&partnerID=8YFLogxK

U2 - 10.1007/s00020-015-2236-3

DO - 10.1007/s00020-015-2236-3

M3 - Article

AN - SCOPUS:84930762034

SN - 0378-620X

VL - 82

SP - 371

EP - 393

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Analytic Dependence of Volume Potentials Corresponding to Parametric Families of Fundamental Solutions

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