Uniqueness theorem for solution of the Cauchy problem for singular parabolic equations with discontinuous coefficients
type: Item
instance of: scholarly article
title: Uniqueness theorem for solution of the Cauchy problem for singular parabolic equations with discontinuous coefficients
zbMATH Open document ID: 0704.35057
author: N. Eh. Chajkovskaya
published in: Moscow University Mathematics Bulletin
publication date: 1988-01-01T00:00:00Z
review text: The uniqueness is proved in the Täcklind class for the solution of the Cauchy problem for singular parabolic equations with discontinuous coefficients \(Lu-\partial u/\partial t=0\) where \[ L=\sum^{n}_{i,k=1}a_{ik}(t,x)\partial^ 2/\partial \chi_ i\partial \chi_ j+\sum b_ i(t,x)\partial /\partial \chi_ i-c(t,x). \] The operator L is elliptic, the \(b_ i(t,x)\) are bounded and \(c(t,x)<\lambda\).
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 4155007
zbMATH Keywords: uniqueness
zbMATH Keywords: Täcklind class
zbMATH Keywords: Cauchy problem
zbMATH Keywords: singular
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4155007