Iterated Dirichlet problem for the higher order Poisson equation
<p>Convoluting the harmonic Green function with itself consecutively leads to a polyharmonic Green function suitable to solve an iterated Dirichlet problem for the higher order Poisson equation. The procedure works in any regular domain and is not restricted to two dimensions. In order to get...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2008-05-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/52 |
| _version_ | 1818259903064571904 |
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| author | H. Begehr T. Vaitekhovich |
| author_facet | H. Begehr T. Vaitekhovich |
| author_sort | H. Begehr |
| collection | DOAJ |
| description | <p>Convoluting the harmonic Green function with itself consecutively leads to a polyharmonic Green function suitable to solve an iterated Dirichlet problem for the higher order Poisson equation. The procedure works in any regular domain and is not restricted to two dimensions. In order to get explicit expressions however the situation is studied in the complex plane and sometimes in particular the unit disk is considered.</p> |
| first_indexed | 2024-12-12T18:22:50Z |
| format | Article |
| id | doaj.art-487aeb4821234582b7dec13bc589c3b0 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-12T18:22:50Z |
| publishDate | 2008-05-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-487aeb4821234582b7dec13bc589c3b02022-12-22T00:16:06ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982008-05-0163113915450Iterated Dirichlet problem for the higher order Poisson equationH. BegehrT. Vaitekhovich<p>Convoluting the harmonic Green function with itself consecutively leads to a polyharmonic Green function suitable to solve an iterated Dirichlet problem for the higher order Poisson equation. The procedure works in any regular domain and is not restricted to two dimensions. In order to get explicit expressions however the situation is studied in the complex plane and sometimes in particular the unit disk is considered.</p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/52Polyharmonic equationIterated Dirichlet problemPolyharmonic Green functions |
| spellingShingle | H. Begehr T. Vaitekhovich Iterated Dirichlet problem for the higher order Poisson equation Le Matematiche Polyharmonic equation Iterated Dirichlet problem Polyharmonic Green functions |
| title | Iterated Dirichlet problem for the higher order Poisson equation |
| title_full | Iterated Dirichlet problem for the higher order Poisson equation |
| title_fullStr | Iterated Dirichlet problem for the higher order Poisson equation |
| title_full_unstemmed | Iterated Dirichlet problem for the higher order Poisson equation |
| title_short | Iterated Dirichlet problem for the higher order Poisson equation |
| title_sort | iterated dirichlet problem for the higher order poisson equation |
| topic | Polyharmonic equation Iterated Dirichlet problem Polyharmonic Green functions |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/52 |
| work_keys_str_mv | AT hbegehr iterateddirichletproblemforthehigherorderpoissonequation AT tvaitekhovich iterateddirichletproblemforthehigherorderpoissonequation |