A class of pseudodifferential operators with degeneracy
type: Item
instance of: scholarly article
title: A class of pseudodifferential operators with degeneracy
zbMATH Open document ID: 1315.35228
DOI: 10.1134/S1064562414010013
author: R. A. Kovalevsky
author: A. D. Baev
published in: Doklady Mathematics
publication date: 2014-08-29T00:00:00Z
review text: The paper introduces new classes of weighted pseudodifferential operators with symbols depending on a complex parameter. These pseudodifferential operators are suitable for studying general parabolic problems with degeneracy. A symbolic calculus is studied as in the classical theory of pseudodifferential operators of Hörmander's classes. The authors also give a Gårding inequality for their classes of weighted pseudodifferential operators. All the results of the paper are presented without proofs.
reviewed by: Chikh Bouzar
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 6336256
MaRDI profile type: Publication
cites work: Q5805226
cites work: Q5566694
cites work: On general boundary value problems on a half-space for higher-order degenerate elliptic equations
description: scientific article; zbMATH DE number 6336256