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Zbl 1173.35404
K il içman, Adem; Eltayeb, Hassan
A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients. (English)
[J] Appl. Math. Lett. 21, No. 11, 1124-1128 (2008). ISSN 0893-9659

Summary: 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.

MSC 2000:: *35E20 General theory of PDE with constant coefficients

Keywords: hyperbolic equation; elliptic equation; double convolution; classification of PDE

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Zentralblatt MATH Berlin [Germany]