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Elsevier, Applied Mathematics Letters, 11(21), p. 1124-1128, 2008

DOI: 10.1016/j.aml.2007.11.002

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

Journal article published in 2008 by Adem Kilicman ORCID, Hassan Eltayeb
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.