Linear equations of the Sobolev type with relatively \(p\)-radial operators
type: Item
instance of: scholarly article
title: Linear equations of the Sobolev type with relatively \(p\)-radial operators
zbMATH Open document ID: 0916.47009
published in: Doklady Mathematics
publication date: 1999-07-21T00:00:00Z
review text: The operator equation \[ L\dot u= Mu\tag{1} \] of Sobolev type is considered. The operators \(L\) and \(M\) are supposed to be linear and closed in Banach space \(U\). If the operator \(L^{-1}\) exists, the equation can be reduced to the standard form \(\dot u= Tu\). In the paper, the case \(\ker L\neq\{0\}\) is investigated.
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 1155300
zbMATH Keywords: Cauchy problem
zbMATH Keywords: operator equation of Sobolev type
author: Vladimir E. Fedorov
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1155300