Results 211 to 220 of about 12,258,354 (255)

High CD44 expression and enhanced E-selectin binding identified as biomarkers of chemoresistant leukemic cells in human T-ALL. [PDF]

open access: yesLeukemia
Calvo J   +15 more
europepmc   +1 more source

Understanding functional abdominal pain disorders among children: a multidisciplinary expert consensus statement. [PDF]

open access: yesFront Pediatr
Vandenplas Y   +11 more
europepmc   +1 more source

Morrey–Campanato functional spaces for Carnot groups

Banach Journal of Mathematical Analysis, 2023
We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the ...
N. Cangiotti, M. Capolli
semanticscholar   +1 more source

A coupling strategy for Brownian motions at fixed time on Carnot groups using Legendre expansion

Electronic Journal of Probability
We propose a new simple construction of a coupling at a fixed time of two sub-Riemannian Brownian motions on the Heisenberg group and on the free step 2 Carnot groups.
M. Arnaudon   +3 more
semanticscholar   +1 more source

Optimal estimates of the number of links of basis horizontal broken lines for 2-step Carnot groups with horizontal distribution of corank 1

Russian Universities Reports. Mathematics
For a 2-step Carnot group D_n, "dim" D_n=n+1, with horizontal distribution of corank 1, we proved that the minimal number N_(X_(D_n ) ) such that any two points u,v∈D_n can be joined by some basis horizontal k-broken line (i.e.
A. Greshnov, R. I. Zhukov
semanticscholar   +1 more source

On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups

Potential Analysis
In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-\'Emery curvature condition. As an application, we establish the gradient estimate for the heat semigroup on the free step-two Carnot group with three ...
Sheng-Chen Mao, Ye Zhang
semanticscholar   +1 more source

Riemannian approximation in Carnot groups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021
We present self-contained proofs of the stability of the constants in the volume doubling property and the Poincaré and Sobolev inequalities for Riemannian approximations in Carnot groups. We use an explicit Riemannian approximation based on the Lie algebra structure that is suited for studying nonlinear subelliptic partial differential equations.
András Domokos   +2 more
openaire   +2 more sources

WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS

Communications in Contemporary Mathematics, 2012
In this paper we define Maxwell's equations in the setting of the intrinsic complex of differential forms in Carnot groups introduced by M. Rumin. It turns out that these equations are higher-order equations in the horizontal derivatives. In addition, when looking for a vector potential, we have to deal with a new class of higher-order evolution ...
FRANCHI, BRUNO, TESI, MARIA CARLA
openaire   +2 more sources

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