Kelvin principle for a class of singular equations
The classical Kelvin principle concerns invariance of solutions of the Laplace equation with respect to inversion in a sphere. By employing a hyperbolic-polar coordinate system, the principle is extended to cover a class of singular equations, which include the ultrahyperbolic equation.
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1989-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S016117128900044X |
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doaj-81eddf6c90154cb5ae79f553650387752020-11-25T00:54:59ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112238539010.1155/S016117128900044XKelvin principle for a class of singular equationsAbdullah Altin0Eutiquio C. Young1Faculty of Science, University of Ankara, Besevler, Ankara, TurkeyDepartment of Mathematics, Florida State University, Tallahassee 32306, Florida, USAThe classical Kelvin principle concerns invariance of solutions of the Laplace equation with respect to inversion in a sphere. By employing a hyperbolic-polar coordinate system, the principle is extended to cover a class of singular equations, which include the ultrahyperbolic equation.http://dx.doi.org/10.1155/S016117128900044X |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Abdullah Altin Eutiquio C. Young |
spellingShingle |
Abdullah Altin Eutiquio C. Young Kelvin principle for a class of singular equations International Journal of Mathematics and Mathematical Sciences |
author_facet |
Abdullah Altin Eutiquio C. Young |
author_sort |
Abdullah Altin |
title |
Kelvin principle for a class of singular equations |
title_short |
Kelvin principle for a class of singular equations |
title_full |
Kelvin principle for a class of singular equations |
title_fullStr |
Kelvin principle for a class of singular equations |
title_full_unstemmed |
Kelvin principle for a class of singular equations |
title_sort |
kelvin principle for a class of singular equations |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
1989-01-01 |
description |
The classical Kelvin principle concerns invariance of solutions of the Laplace equation with respect to inversion in a sphere. By employing a hyperbolic-polar coordinate system, the principle is extended to cover a class of singular equations, which include the ultrahyperbolic equation. |
url |
http://dx.doi.org/10.1155/S016117128900044X |
work_keys_str_mv |
AT abdullahaltin kelvinprincipleforaclassofsingularequations AT eutiquiocyoung kelvinprincipleforaclassofsingularequations |
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1725232525316456448 |