Now showing items 349-368 of 885

• #### Hard-type inequalities for $\Delta_{\lambda}$-Laplacians ﻿

(Complex Variables and Elliptic Equations, 2015-12-31)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of (Formula presented.) -Laplacians and find explicit values for the constants involved. Our results generalize previous ...
• #### Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials ﻿

(SIAM Journal on Mathematical Analysis, 2009-12-31)
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed by a singular inverse-square potential. Exact boundary controllability is proved in the range of subcritical coefficients ...
• #### Hardy inequality and Pohozaev identity for operators with boundary singularities: Some applications ﻿

(Comptes Rendus Mathematique, 2011-12-31)
We consider the Schrödinger operator Aλ:=-δ-λ/|x|2, λ∈R, when the singularity is located on the boundary of a smooth domain Ω⊂RN, N≥1.The aim of this Note is two folded. Firstly, we justify the extension of the classical ...
• #### Hardy type inequalities for $\Delta_{\lambda}$-Laplacians ﻿

(Complex Variables and Elliptic Equations, 2016-01-01)
We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_{\lambda}$-Laplacians and find explicit values for the constants involved. Our results generalize previous ...
• #### Hardy uncertainty principle, convexity and parabolic evolutions ﻿

(Communications in Mathematical Physics, 2016-09-01)
We give a new proof of the $L^2$ version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of ...
• #### Hardy-type inequalities for fractional powers of the Dunkl-Hermite operator ﻿

(Proc. Edinburgh Math. Soc. (2), 2018)
We prove Hardy-type inequalities for a fractional Dunkl–Hermite operator, which incidentally gives Hardy inequalities for the fractional harmonic oscillator as well. The idea is to use h-harmonic expansions to reduce the ...
• #### Hartman effect and weak measurements that are not really weak ﻿

(Physical Review A - Atomic, Molecular, and Optical Physics, 2011-12-31)
We show that in wave packet tunneling, localization of the transmitted particle amounts to a quantum measurement of the delay it experiences in the barrier. With no external degree of freedom involved, the envelope of the ...
• #### Hartree-Fock theory with a self-generated magnetic field ﻿

(Journal of Mathematical Physics, 2017-06-01)
We prove the existence of a ground state within the Hartree-Fock theory for atoms and molecules, in the presence of self-generated magnetic fields, with and without direct spin coupling. The ground state exists provided ...
• #### Heat production of noninteracting fermions subjected to electric fields ﻿

(Communications on Pure and Applied Mathematics, 2014-07-21)
Electric resistance in conducting media is related to heat (or entropy) production in the presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the ...
• #### Heavy-traffic analysis of a multiple-phase network with discriminatory processor sharing ﻿

(Operations Research, 2011-12-31)
We analyze a generalization of the discriminatory processor-sharing (DPS) queue in a heavy-traffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ...
• #### Heavy-traffic analysis of the M/PH/1 Discriminatory Processor Sharing queue with phase-dependent weights ﻿

(Performance Evaluation Review, 2009-12-31)
We analyze a generalization of the Discriminatory Processor Sharing (DPS) queue in a heavy-traffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ...
• #### Heavy-traffic revenue maximization in parallel multiclass queues ﻿

(Performance Evaluation, 2013-12-31)
Motivated by revenue maximization in server farms with admission control, we investigate the optimal scheduling in parallel processor-sharing queues. Incoming customers are distinguished in multiple classes and we define ...
• #### Hidden electronic rule in the "cluster-plus-glue-Atom" model ﻿

(Scientific Reports, 2016-10-01)
Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “cluster-cluster-plus-glue-atom” model, an electron counting rule for complex metallic alloys (CMAs) ...
• #### Hierarchical modelling of patient-reported outcomes data based on the beta-binomial distribution ﻿

(2017-12-13)
The beta-binomial distribution does not belong to the exponential family and, hence classical regression techniques cannot be used when dealing with outcomes following the mentioned distribution. In this thesis we propose ...
• #### High frequency wave packets for the Schrödinger equation and its numerical approximations [Paquets d'ondes à haute fréquence pour l'équation de Schrödinger et ses approximations numériques] ﻿

(Comptes Rendus Mathematique, 2011-12-31)
We build Gaussian wave packets for the linear Schrödinger equation and its finite difference space semi-discretization and illustrate the lack of uniform dispersive properties of the numerical solutions as established in ...
• #### High order discontinuous finite-volume/finite-element method for CFD applications ﻿

(11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, 2014-12-31)
The proposed method naturally merges the desirable conservative properties and intuitive physical formulation of the widely used finite-volume (FV) technique, with the capability of local arbitrary high-order accuracy and ...
• #### High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish ﻿

(Journal of Computational Science, 2015-12-31)
Cylindrical Petri dishes embedded in a rectangular waveguide and exposed to a polarized electromagnetic wave are often used to grow cell cultures. To guarantee the success of these cultures, it is necessary to enforce that ...
• #### High-frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries ﻿

(Wave Motion, 2010-12-31)
The performance of the second-order local approximate DtN boundary condition suggested in [4] is investigated analytically when employed for solving high-frequency exterior Helmholtz problems with elongated scatterers. ...
• #### High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction ﻿

(International Journal of Computer Mathematics, 2013-12-31)
It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small ...
• #### Higher-order nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots ﻿

(Journal of Physics Condensed Matter, 2010-12-31)
As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of low-dimensional nanostructures and band structure calculations. In this work, ...