The inverse, the heat semigroup, Liouville's theorems and the spectrum for the Grushin operator
type: Item
instance of: scholarly article
title: The inverse, the heat semigroup, Liouville's theorems and the spectrum for the Grushin operator
zbMATH Open document ID: 1223.47048
author: Aparajita Dasgupta
author: Shahla Molahajloo
author: M. W. Wong
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2011-01-25T00:00:00Z
review text: The authors give new Sobolev estimates for the inverse and the heat semigroup of the Grushin operator \(G\) on \(\mathbb R^2\). Moreover, they give Liouville theorems and compute the spectrum of the Grushin operator \(G\) by transforming it into a family of parametrized Hermite operators.
reviewed by: Mohammed Bouchekif
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 5841058
zbMATH Keywords: Grushin operator
zbMATH Keywords: parametrized Hermite operators
zbMATH Keywords: Hermite functions
zbMATH Keywords: inverses
zbMATH Keywords: heat semigroups
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: Liouville's theorem
zbMATH Keywords: eigenvalues
zbMATH Keywords: spectrum
zbMATH Keywords: continuous spectrum
MaRDI profile type: Publication
full work available at URL: s11868-010-0016-z
OpenAlex ID: W2160897078
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DOI: 10.1007/S11868-010-0016-Z
description: scientific article; zbMATH DE number 5841058