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Hardy's Inequality for the fractional powers of Grushin operator
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.
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On the Cheeger Inequality in Carnot-Carathéodory Spaces. [PDF]
Kluitenberg M.
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Geometric topics related to Besov type spaces on the Grushin setting
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
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Abstracts of the XXV Congress of the International Society on Thrombosis and Haemostasis, June 20-25, 2015. [PDF]
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P-Laplace Equation for the Grushin Type Operator
Acta Mathematica Sinica, English Series, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Ji Zheng, Yang, Xin Xin
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The homogeneous polynomial solutions for the Grushin operator
Acta Mathematica Scientia, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hairong Liu
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Lp -L 2 estimates for solutions of the wave equation associated to the Grushin operator
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
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Torsional creep problems involving Grushin-type operators
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai Mihailescu, Denisa Stancu-Dumitru
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Strong Unique Continuation for Generalized Baouendi-Grushin Operators
Advances in Analysis, 2005must 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.
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On subRiemannian geodesics associated to a Grushin operator
Applicable Analysis, 2016SubRiemannian 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 ...
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