On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition
In the present paper we consider the Neumann problem for the $n$-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials.
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University of Szeged
2020-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8937 |
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doaj-35f5b8d6c5694815aa38ea21a392f1132021-07-14T07:21:34ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752020-12-0120207111110.14232/ejqtde.2020.1.718937On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann conditionAlberto Cialdea0Vita Leonessa1Angelica Malaspina2Department of Mathematics, Computer Sciences and Economics, University of Basilicata, Potenza, ItalyDepartment of Mathematics, Computer Sciences and Economics, University of Basilicata, Potenza, ItalyDepartment of Mathematics, Computer Sciences and Economics, University of Basilicata, Potenza, ItalyIn the present paper we consider the Neumann problem for the $n$-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8937helmholtz equationpotential theoryintegral representations |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alberto Cialdea Vita Leonessa Angelica Malaspina |
| spellingShingle |
Alberto Cialdea Vita Leonessa Angelica Malaspina On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition Electronic Journal of Qualitative Theory of Differential Equations helmholtz equation potential theory integral representations |
| author_facet |
Alberto Cialdea Vita Leonessa Angelica Malaspina |
| author_sort |
Alberto Cialdea |
| title |
On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition |
| title_short |
On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition |
| title_full |
On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition |
| title_fullStr |
On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition |
| title_full_unstemmed |
On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition |
| title_sort |
on the double layer potential ansatz for the $n$-dimensional helmholtz equation with neumann condition |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2020-12-01 |
| description |
In the present paper we consider the Neumann problem for the $n$-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials. |
| topic |
helmholtz equation potential theory integral representations |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8937 |
| work_keys_str_mv |
AT albertocialdea onthedoublelayerpotentialansatzforthendimensionalhelmholtzequationwithneumanncondition AT vitaleonessa onthedoublelayerpotentialansatzforthendimensionalhelmholtzequationwithneumanncondition AT angelicamalaspina onthedoublelayerpotentialansatzforthendimensionalhelmholtzequationwithneumanncondition |
| _version_ |
1721303340849037312 |