A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients

Massimo Lanza de Cristoforis; Paolo Musolino

A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients

Massimo Lanza de Cristoforis, Paolo Musolino

Department of Mathematics

University of Padua

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

33 Citations (Scopus)

Abstract

We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parameterization of the supporting hypersurface and on the parameter.

Original language	English
Pages (from-to)	75-120
Number of pages	46
Journal	Far East Journal of Mathematical Sciences
Volume	52
Issue number	1
Publication status	Published - May 2011

Keywords

Domain perturbation
Periodic layer potentials
Second order differential operators with constant coefficients
Special nonlinear operators

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title = "A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients",

abstract = "We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parameterization of the supporting hypersurface and on the parameter.",

keywords = "Domain perturbation, Periodic layer potentials, Second order differential operators with constant coefficients, Special nonlinear operators",

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

year = "2011",

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language = "English",

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N2 - We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parameterization of the supporting hypersurface and on the parameter.

AB - We show that periodic layer potentials associated to parameter dependent analytic families of fundamental solutions of second order differential operators with constant coefficients, depend real-analytically upon the density (or moment) function and on a suitable parameterization of the supporting hypersurface and on the parameter.

KW - Domain perturbation

KW - Periodic layer potentials

KW - Second order differential operators with constant coefficients

KW - Special nonlinear operators

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JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

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A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients

Abstract

Keywords

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