Some stabilization theorems for solutions of the Cauchy problem for Shilov-parabolic systems in classes of generalized functions
type: Item
instance of: scholarly article
title: Some stabilization theorems for solutions of the Cauchy problem for Shilov-parabolic systems in classes of generalized functions
zbMATH Open document ID: 0664.35044
DOI: 10.1007/BF01056443
published in: Ukrainian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The author considers the system \[ \partial u_ i(t,x)/\partial t=\sum^{N}_{j=1}\sum_{| k| \leq \rho}a_ k^{ij}(t)D^ k_ x u_ j(t,x),\quad i=1,...,N, \] with continuous bounded coefficients and parabolic in Shilov's sense in the space \([0,T]\times R^ n\). Sufficient (and in some cases also necessary) stability conditions of the Cauchy problem in the class of generalized functions are established.
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 4086175
zbMATH Keywords: parabolic in Shilov's sense
zbMATH Keywords: stability
zbMATH Keywords: Cauchy problem
zbMATH Keywords: generalized functions
author: V. V. Gorodets'kyj
reviewed by: Gheorghe Aniculăesei
MaRDI profile type: Publication
cites work: Q3265952
cites work: Q3265951
cites work: Q5568220
full work available at URL: https://doi.org/10.1007/bf01056443
OpenAlex ID: W1969507651
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description: scientific article; zbMATH DE number 4086175