On quasielliptic operators in \(\mathbb{R}_n\)
type: Item
instance of: scholarly article
title: On quasielliptic operators in \(\mathbb{R}_n\)
zbMATH Open document ID: 0916.35032
DOI: 10.1007/BF02672910
published in: Siberian Mathematical Journal
publication date: 1999-05-11T00:00:00Z
review text: The author studies a class of matrix quasielliptic operators \(\mathcal L(D_x) =(l_{k,j}(D_x))\) defined on the whole \(\mathbb{R}_n\). For these operators, some isomorphy properties are established and unique solvability is proven for the systems \[ \mathcal L(D_x)U = F(x), \quad x\in \mathbb{R}_n, \] in special weighted Sobolev spaces. An application of the results to the theory of the equations which are not solved with respect to the higher order derivative is illustrated by an example.
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1285996
zbMATH Keywords: unique solvability
zbMATH Keywords: weighted Sobolev space
author: G. V. Demidenko
reviewed by: Vladimir N. Grebenev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1285996