Kelvin principle for a class of singular equations

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.

Bibliographic Details
Main Authors: Abdullah Altin, Eutiquio C. Young
Format: Article
Language:English
Published: Hindawi Limited 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117128900044X
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spelling 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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