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.

Saved in:
Bibliographic Details
Published in:Siberian mathematical journal 2019-07, Vol.60 (4), p.644-660
Main Author: Pavlov, A. L.
Format: Article
Language:English
Subjects:
Cauchy problems
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446619040104