Kilicman, Adem and Eltayeb, Hassan (2008) A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients. Applied Mathematics Letters, 21 (11). pp. 1124-1128. ISSN 0893-9659
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Official URL: http://dx.doi.org/10.1016/j.aml.2007.11.002
Abstract
In this work we consider the hyperbolic and elliptic partial differential equations with constant coefficients; then by using double convolutions we produce new equations with polynomial coefficients and classify the new equations. It is shown that the classifications of hyperbolic and elliptic equations with non-constant coefficients are similar to those of the original equations; that is, the equations are invariant under double convolutions.
| Item Type: | Article |
|---|---|
| Keyword: | Hyperbolic equation, Elliptic equation, Double convolution, Classification of PDE |
| Faculty or Institute: | Faculty of Science |
| Publisher: | Elsevier |
| DOI Number: | 10.1016/j.aml.2007.11.002 |
| ID Code: | 7013 |
| Deposited By: | Najwani Amir Sariffudin |
| Deposited On: | 01 Jun 2010 03:36 |
| Last Modified: | 20 Aug 2010 05:02 |
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