Existence of Solutions to the Cauchy Problem for Some Class of Sobolev-Type Equations in the Space of Tempered Distributions


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Abstract

We give sufficient conditions for existence of a solution to the Cauchy problem for the equation P1(Dx)tuP0(Dx)u = 0 in the space of tempered distributions.

About the authors

A. L. Pavlov

Institute of Applied Mathematics and Mechanics

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Email: alex4909@gmail.com
Ukraine, Donetsk

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