Email this article Existence of Solutions to the Cauchy Problem for Some Class of Sobolev-Type Equations in the Space of Tempered Distributions
- Authors: Pavlov A.L.1
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Affiliations:
- Institute of Applied Mathematics and Mechanics
- Issue: Vol 60, No 4 (2019)
- Pages: 644-660
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172518
- DOI: https://doi.org/10.1134/S0037446619040104
- ID: 172518
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Abstract
We give sufficient conditions for existence of a solution to the Cauchy problem for the equation P1(Dx)∂tu − P0(Dx)u = 0 in the space of tempered distributions.
About the authors
A. L. Pavlov
Institute of Applied Mathematics and Mechanics
Author for correspondence.
Email: alex4909@gmail.com
Ukraine, Donetsk
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