On Finite Product of Convolutions and Classifications of Hyperbolic and Elliptic Equations

Details On Finite Product of Convolutions and Classifications of Hyperbolic and Elliptic Equations On Finite Product of Convolutions and Classifications of Hyperbolic and Elliptic Equations

2009-01-16

arxiv.org/abs/0901.2422v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

In this paper we consider the linear second order partial differential equation with non-constant coefficients; then by using the double convolution product we produce new equations with polynomials coefficients and we classify the new equations. It is shown that the classifications of hyperbolic and elliptic new equations are similar to the original equations that is the classification is invariant after finite double convolutions product.

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