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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Some expansion formulas for a class of singular partial differential equations


Author: Abdullah Altin
Journal: Proc. Amer. Math. Soc. 85 (1982), 42-46
MSC: Primary 35C05
MathSciNet review: 647894
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Abstract: We obtain a generalization of the Almansi's expansion and the Lord Kelvin principle for solutions of a class of iterated elliptic or ultrahyperbolic equations. We also obtain some homogeneous function expansions for solutions of the same equations.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0647894-1
PII: S 0002-9939(1982)0647894-1
Keywords: Iterated equation, elliptic, ultrahyperbolic equations, Almansi's expansion, Lord Kelvin principle, homogeneous functions, induction method
Article copyright: © Copyright 1982 American Mathematical Society