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

We give sufficient conditions for existence of a solution to the Cauchy problem for the equation P 1 ( D x ) ∂ t u − P 0 ( D x ) u = 0 in the space of tempered distributions.

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Published in:Siberian mathematical journal 2019-07, Vol.60 (4), p.644-660
Main Author: Pavlov, A. L.
Format: Article
Language:English
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Cauchy problems
Mathematics
Mathematics and Statistics
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description We give sufficient conditions for existence of a solution to the Cauchy problem for the equation P 1 ( D x ) ∂ t u − P 0 ( D x ) u = 0 in the space of tempered distributions.
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subjects Cauchy problems
Mathematics
Mathematics and Statistics
title Existence of Solutions to the Cauchy Problem for Some Class of Sobolev-Type Equations in the Space of Tempered Distributions
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