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

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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.
10 pages

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Analysis of PDEs, Functional Analysis, 35L05

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http://salesiana.dossiersoluciones.com/handle/123456789/216315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2422
 http://arxiv.org/abs/0901.2422

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arXiv