Some examples of hypoelliptic operators of infinitely degenerate type
type: Item
instance of: scholarly article
title: Some examples of hypoelliptic operators of infinitely degenerate type
zbMATH Open document ID: 0824.35028
author: Toshihiko Hoshiro
published in: Osaka Journal of Mathematics
publication date: 1995-11-12T00:00:00Z
review text: Hypoellipticity of a special class of degenerate elliptic second order partial differential operators with coefficients flat at the origin is studied. The proof of both negative and positive results is based on an interesting idea of \textit{G. R. Aleksandryan} [Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 19, No. 3, 33-46 (1984; Zbl 0599.35111)] to use degenerate hypergeometric functions in investigating weakly hyperbolic equations with flat coefficients at 0.
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 591439
zbMATH Keywords: coefficients flat at the origin
reviewed by: Peter R. Popivanov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 591439