Some Hardy inequalities on half spaces for Grushin type operators
, 2013 We prove some sharp Hardy type inequalities on half spaces for Grushin type operators like Δx +(1+ γ)2|x| Δy with γ > 0 . Mathematics subject classification (2010): Primary 26D10, 35H20.
Yingxiong Xiao
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, 2013 This paper is devoted to optimal partial regularity of weak solutions to nonlinear sub-elliptic systems for the case 15m52 under the controllable growth condition in Carnot groups.
Jialin Wang, Dongni Liao, Zefeng Yu
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Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators
Advances in Nonlinear Analysis, 2016 We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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Ultra-analytic effect of Cauchy problem for a class of kinetic equations [PDF]
, 2009 The smoothing effect of the Cauchy problem for a class of kinetic equations is studied. We firstly consider the spatially homogeneous non linear Landau equation with Maxwellian molecules and inhomogeneous linear Fokker-Planck equation to show the ultra ...
Morimoto, Yoshinori, Xu, Chao-Jiang
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The Parabolic Infinite-Laplace Equation in Carnot groups [PDF]
, 2014 By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in Carnot groups.
Bieske, Thomas, Martin, Erin
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The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential [PDF]
, 2010 As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole space is proved in some suitable weighted Sobolev spaces for hard ...
Alexandre R. +5 more
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The structures of the salt-bearing aluminosilicates, Species P and Q
, 1972 Determinations have been made of the structures of the salt-bearing aluminosilicates, Species P and Q, having unit-cell compositions Bals[AboSi660192]1.7Ba (OH)2, 12.5BaCh, 35H20 and Bals[AboSi660192]1.6Ba(OH)2, 11.9BaBr2, 30H20 respectively.
R. M. Barrer, D. J. Robinson
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Fourier-Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group
, 2010 The sub-Laplacian on the Heisenberg group is first decomposed into twisted Laplacians parametrized by Planck’s constant. Using Fourier–Wigner transforms so parametrized, we prove that the twisted Laplacians are globally hypoelliptic in the setting of ...
Aparajita Dasgupta, M. W. Wong
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Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
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A certain critical density property for invariant Harnack inequalities in H-type groups
, 2013 We consider second order linear degenerate-elliptic operators which are elliptic with respect to horizontal directions generating a stratified algebra of H-type. Extending a result by Guti\'errez and Tournier for the Heisenberg group, we prove a critical
Tralli, Giulio
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