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Hardtype inequalities for $\Delta_{\lambda}$Laplacians
(Complex Variables and Elliptic Equations, 20151231)We derive Hardytype inequalities for a large class of subelliptic 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, 20091231)We address the question of exact controllability of the wave and Schrodinger equa\tions perturbed by a singular inversesquare 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, 20111231)We consider the Schrödinger operator Aλ:=δλ/x2, 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, 20160101)We derive Hardytype inequalities for a large class of subelliptic 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, 20160901)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 logconvexity properties and the derivation of ... 
Hardytype inequalities for fractional powers of the DunklHermite operator
(Proc. Edinburgh Math. Soc. (2), 2018)We prove Hardytype inequalities for a fractional Dunkl–Hermite operator, which incidentally gives Hardy inequalities for the fractional harmonic oscillator as well. The idea is to use hharmonic expansions to reduce the ... 
A Hardytype inequality and some spectral characterizations for the DiracCoulomb operator
(Revista Matemática Complutense, 20190702)We prove a sharp Hardytype inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrixvalued potentials V of Coulomb type: we characterise ... 
A Hardytype inequality and some spectral characterizations for the Dirac–Coulomb operator
(Revista Matemática Complutense, 201906)We prove a sharp Hardytype inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrixvalued potentials $\mathbf V$ of Coulomb type: ... 
Hartman effect and weak measurements that are not really weak
(Physical Review A  Atomic, Molecular, and Optical Physics, 20111231)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 ... 
HartreeFock theory with a selfgenerated magnetic field
(Journal of Mathematical Physics, 20170601)We prove the existence of a ground state within the HartreeFock theory for atoms and molecules, in the presence of selfgenerated 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, 20140721)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 ... 
Heavytraffic analysis of a multiplephase network with discriminatory processor sharing
(Operations Research, 20111231)We analyze a generalization of the discriminatory processorsharing (DPS) queue in a heavytraffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ... 
Heavytraffic analysis of the M/PH/1 Discriminatory Processor Sharing queue with phasedependent weights
(Performance Evaluation Review, 20091231)We analyze a generalization of the Discriminatory Processor Sharing (DPS) queue in a heavytraffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ... 
Heavytraffic revenue maximization in parallel multiclass queues
(Performance Evaluation, 20131231)Motivated by revenue maximization in server farms with admission control, we investigate the optimal scheduling in parallel processorsharing queues. Incoming customers are distinguished in multiple classes and we define ... 
Hidden electronic rule in the "clusterplusglueAtom" model
(Scientific Reports, 20161001)Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “clusterclusterplusglueatom” model, an electron counting rule for complex metallic alloys (CMAs) ... 
Hierarchical modelling of patientreported outcomes data based on the betabinomial distribution
(20171213)The betabinomial 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, 20111231)We build Gaussian wave packets for the linear Schrödinger equation and its finite difference space semidiscretization and illustrate the lack of uniform dispersive properties of the numerical solutions as established in ... 
High order discontinuous finitevolume/finiteelement 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, 20141231)The proposed method naturally merges the desirable conservative properties and intuitive physical formulation of the widely used finitevolume (FV) technique, with the capability of local arbitrary highorder accuracy and ... 
Highaccuracy adaptive modeling of the energy distribution of a meniscusshaped cell culture in a Petri dish
(Journal of Computational Science, 20151231)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 ... 
Highfrequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidalshaped boundaries
(Wave Motion, 20101231)The performance of the secondorder local approximate DtN boundary condition suggested in [4] is investigated analytically when employed for solving highfrequency exterior Helmholtz problems with elongated scatterers. ...