Convergence in \(L^ 2\) of solutions of equations with a small matrix as coefficient at the derivative
type: Item
instance of: scholarly article
title: Convergence in \(L^ 2\) of solutions of equations with a small matrix as coefficient at the derivative
zbMATH Open document ID: 0714.34091
DOI: 10.1007/BF01060565
author: V. P. Skripnik
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: In a series of papers [ibid. 36, No.1, 73-78 (1984; Zbl 0548.34058); Sib. Mat. Zh. 25, No.6, 153-157 (1984; Zbl 0608.34013); Differ. Equations 21, 1154-1158 (1985); translation from Differ. Uravn. 21, No.10, 1717-1723 (1985; Zbl 0616.34046)] the author considered systems with a small matrix at the derivative. The convergence of solutions in \(L^ 2\) was investigated under the assumption that the solution of the degenerate equation was bounded. In this paper the matrix at the derivative is supposed to be small in the \(L^ 4\) norm but is permitted to be unbounded.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 4175476
zbMATH Keywords: small in the \(L^ 4\) norm
zbMATH Keywords: unbounded
MaRDI profile type: Publication
cites work: Nonlinear systems with a small matrix as the coefficient of the derivative
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description: scientific article; zbMATH DE number 4175476