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A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients

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 equa...

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Main Authors: Kilicman, Adem, Eltayeb, Hassan
Format: Article
Language:English
English
Published: Elsevier 2008
Online Access:http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf
http://psasir.upm.edu.my/id/eprint/7013/
http://dx.doi.org/10.1016/j.aml.2007.11.002
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spelling my.upm.eprints.70132015-09-28T08:17:58Z http://psasir.upm.edu.my/id/eprint/7013/ A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients Kilicman, Adem Eltayeb, Hassan 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. Elsevier 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf 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 http://dx.doi.org/10.1016/j.aml.2007.11.002 10.1016/j.aml.2007.11.002 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Kilicman, Adem
Eltayeb, Hassan
spellingShingle Kilicman, Adem
Eltayeb, Hassan
A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
author_facet Kilicman, Adem
Eltayeb, Hassan
author_sort Kilicman, Adem
title A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
title_short A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
title_full A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
title_fullStr A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
title_full_unstemmed A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
title_sort note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
publisher Elsevier
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/7013/1/A%20note%20on%20the%20classifications%20of%20hyperbolic%20and%20elliptic%20equations%20with%20polynomial%20coefficients.pdf
http://psasir.upm.edu.my/id/eprint/7013/
http://dx.doi.org/10.1016/j.aml.2007.11.002
_version_ 1643823596816039936
score 13.18916

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