Some properties and applications of the Teodorescu operator associated to the Helmholtz equation

In this paper, we first define the Teodorescu operator [Formula: see text] related to the Helmholtz equation and discuss its properties in quaternion analysis. Then we propose the Riemann boundary value problem related to the Helmholtz equation. Finally we give the integral representation of the bou...

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Detalles Bibliográficos
Autores principales: Yang, Pei, Wang, Liping, Gao, Long
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5656742/
https://www.ncbi.nlm.nih.gov/pubmed/29104402
http://dx.doi.org/10.1186/s13660-017-1537-2
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author Yang, Pei
Wang, Liping
Gao, Long
author_facet Yang, Pei
Wang, Liping
Gao, Long
author_sort Yang, Pei
collection PubMed
description In this paper, we first define the Teodorescu operator [Formula: see text] related to the Helmholtz equation and discuss its properties in quaternion analysis. Then we propose the Riemann boundary value problem related to the Helmholtz equation. Finally we give the integral representation of the boundary value problem by using the previously defined operator.
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spelling pubmed-56567422017-11-01 Some properties and applications of the Teodorescu operator associated to the Helmholtz equation Yang, Pei Wang, Liping Gao, Long J Inequal Appl Research In this paper, we first define the Teodorescu operator [Formula: see text] related to the Helmholtz equation and discuss its properties in quaternion analysis. Then we propose the Riemann boundary value problem related to the Helmholtz equation. Finally we give the integral representation of the boundary value problem by using the previously defined operator. Springer International Publishing 2017-10-25 2017 /pmc/articles/PMC5656742/ /pubmed/29104402 http://dx.doi.org/10.1186/s13660-017-1537-2 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Yang, Pei
Wang, Liping
Gao, Long
Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title_full Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title_fullStr Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title_full_unstemmed Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title_short Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
title_sort some properties and applications of the teodorescu operator associated to the helmholtz equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5656742/
https://www.ncbi.nlm.nih.gov/pubmed/29104402
http://dx.doi.org/10.1186/s13660-017-1537-2
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