Results 111 to 120 of about 453,228 (135)

Hardy's Inequality for the fractional powers of Grushin operator

open access: yes, 2017
We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized sublaplacian.
openaire   +2 more sources

Geometric topics related to Besov type spaces on the Grushin setting

open access: yes
The Grushin spaces, as one of the most important models in the Carnot-Carath\'eodory space, are a class of locally compact and geodesic metric spaces which admit a dilation. Function spaces on Grushin spaces and some related geometric problems are always
Zhao, Nan   +3 more
core  

P-Laplace Equation for the Grushin Type Operator

Acta Mathematica Sinica, English Series, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Ji Zheng, Yang, Xin Xin
exaly   +3 more sources

The homogeneous polynomial solutions for the Grushin operator

Acta Mathematica Scientia, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hairong Liu
exaly   +2 more sources

Lp -L 2 estimates for solutions of the wave equation associated to the Grushin operator

open access: yesAdvances in Pure and Applied Mathematics, 2018
This article deals with L-p-L-2 estimates for solutions of the wave equation associated to the Grushin operator G := -Delta - vertical bar x vertical bar(2) partial derivative(2)/partial derivative t(2) on Rn+1.
Venku Naidu Dogga, Sundaram Thangavelu
exaly   +3 more sources

Torsional creep problems involving Grushin-type operators

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai Mihailescu, Denisa Stancu-Dumitru
openaire   +3 more sources

Strong Unique Continuation for Generalized Baouendi-Grushin Operators

Advances in Analysis, 2005
must vanish identically in some neighborhood of zo. In other words non-trivial solutions can have at most finite order of vanishing. In this paper we study the strong unique continuation property for a class of “variable coefficient” operators whose “constant coefficient” model at one point is the so called Baouendi-Grushin operator [B], [Gr1], [Gr2 ...
GAROFALO, NICOLA, Vassilev, D.
openaire   +2 more sources

On subRiemannian geodesics associated to a Grushin operator

Applicable Analysis, 2016
SubRiemannian geodesics induced by the Grushin operator are obtained and completely classified. The classification is done with respect to the position of the endpoints of the geodesics. The number of geodesics starting at the origin is determined, for the finite case, and the number of intersection points of an arbitrary geodesic with the canonical ...
openaire   +1 more source

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