Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ2

Ricardo Abreu Blaya; Juan Bory Reyes

doi:10.4064/ap115-2-5

Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ²

Ricardo Abreu Blaya, Juan Bory Reyes

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

1 Scopus citations

Abstract

This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for Hölder continuous boundary data on arbitrary rectifiable Jordan closed curves in R2.

Original language	English
Pages (from-to)	179-188
Number of pages	10
Journal	Annales Polonici Mathematici
Volume	115
Issue number	2
DOIs	https://doi.org/10.4064/ap115-2-5
State	Published - 28 Sep 2015

Keywords

Cauchy type integral
Helmholtz equation
Layer potentials
Quaternionic analysis

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10.4064/ap115-2-5

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title = "Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ2",

abstract = "This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for H{\"o}lder continuous boundary data on arbitrary rectifiable Jordan closed curves in R2.",

keywords = "Cauchy type integral, Helmholtz equation, Layer potentials, Quaternionic analysis",

author = "Blaya, {Ricardo Abreu} and Reyes, {Juan Bory}",

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AU - Blaya, Ricardo Abreu

AU - Reyes, Juan Bory

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2015.

PY - 2015/9/28

Y1 - 2015/9/28

N2 - This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for Hölder continuous boundary data on arbitrary rectifiable Jordan closed curves in R2.

AB - This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for Hölder continuous boundary data on arbitrary rectifiable Jordan closed curves in R2.

KW - Cauchy type integral

KW - Helmholtz equation

KW - Layer potentials

KW - Quaternionic analysis

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Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ²

Abstract

Keywords

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