Non-isotropic Gevrey hypoellipticity for Grushin operators.
type: Item
instance of: scholarly article
title: Non-isotropic Gevrey hypoellipticity for Grushin operators.
zbMATH Open document ID: 1183.35084
author: Yoshiaki Hashimoto
author: Takaaki Hoshino
author: Tadato Matsuzawa
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2002-11-20T00:00:00Z
review text: Summary: We determine non-isotropic Gevrey exponents for general Grushin operators based on the results given earlier, where a method to determine isotropic (worst) Gevrey exponents was given. The ideas of the bracket calculus of Bove-Tartakoff and FBI-transformation are also useful.
Mathematics Subject Classification ID: 35H10
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 1833277
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145476339
OpenAlex ID: W1983708092
cites work: Nonanalytic-hypoellipticity for some degenerate elliptic operators
cites work: Q4359711
cites work: Q4293411
cites work: Intermediate optimal gevrey exponents occur
cites work: Examples pertaining to Gevrey hypoellipticity
cites work: Q4059283
cites work: Pseudodifferential operators on \(R^ n\) with bounded symbols
cites work: ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
cites work: HYPOELLIPTIC DIFFERENTIAL EQUATIONS AND PSEUDODIFFERENTIAL OPERATORS WITH OPERATOR-VALUED SYMBOLS
cites work: Singular solutions for sums of squares of vector fields
cites work: Opérateurs pseudodif[facute]erentiels et classes de gevrey
cites work: Q4023401
cites work: Q5549989
cites work: Sur Les Equations utt + tαuxx = f (α ≧ 0)
cites work: Gevrey hypoellipticity of a class of pseudodifferential operators
cites work: A calculus approach to hyperfunctions I
cites work: A Calculus Approach to Hyperfunctions. II
cites work: Gevrey hypoellipticity for Grushin operators
cites work: Q4236877
cites work: Editorial board
cites work: Analytic hypoellipticity for operators with symplectic characteristics
cites work: Q4041983
cites work: Q4274290
cites work: Propagation of analytic singularities for second order dirichlet problems
DOI: 10.2977/PRIMS/1145476339
description: scientific article; zbMATH DE number 1833277