non-linear Schrödinger functional
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
... THE NON-LINEAR SCHR ¨ ODINGER FUNCTIONAL FOR TRAPPED BOSE GASES MATHIEU LEWIN, PHAN TH ` ANH NAM, AND NICOLAS ROUGERIE ...energy functional in the limit of large particle number, when the ...
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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
... THE NON-LINEAR SCHR ¨ ODINGER FUNCTIONAL FOR TRAPPED BOSE GASES MATHIEU LEWIN, PHAN TH ` ANH NAM, AND NICOLAS ROUGERIE ...energy functional in the limit of large particle number, when the ...
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Long time dynamics for the one dimensional non linear Schrödinger equation
... x + x 2 , fundamental for the future analysis. The following two sections are devoted to establishing two families of linear dispersive estimates, namely the Strichartz and the local smoothing estimates. Here we ...
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Design procedure for linear unknown input functional observers
... a linear linear time-invariant system have been conducted in two main ...of linear functional observers (LFO) of the state vector of the ...input linear observers ...
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On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent
... of non-selfadjoint differential operators is at a much less devel- oped state than that of selfadjoint ...a non- selfadjoint operator P possesses a complete systems of generalized eigenvec- tors (by which ...
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Estimation of the noise covariance operator in functional linear regression with functional outputs
... The functional variables X, Y and ε are random functions taking values on the interval I = [0, 1] of ...of non centered X and Y functions can be equivalently studied by adding an additive non random ...
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Non-linear rough heat equations
... a non-differentiable process which allows the construction of a so-called rough path x, morally represented by the iterated integrals of the process (see Definition ...
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Some measurements on non-linear dielectrics
... L’accès à ce site Web et l’utilisation de son contenu sont assujettis aux conditions présentées dans le site LISEZ CES CONDITIONS ATTENTIVEMENT AVANT D’UTILISER CE SITE WEB. NRC Publicat[r] ...
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Bayesian Functional Linear Regression with Sparse Step Functions
... β j (t) with the noticeable exception of Picheny et al. ( 2016 ). Unlike the scalar-on-image models, we focus here on one-dimensional functional co- variates. When T is not a one dimensional space, the problem ...
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On Linear Frequency Domain Turbo-Equalization of Non Linear Volterra Channels
... to non linear distortions when being passed through a High Power Amplifier (HPA) operating near ...the non linear channel have been widely investigated [1], [2] and ...the non ...
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Non destructive testing using non linear vibroacoustic
... We recall some papers related to the use of the frequency response for non destructive testing; in particular generation of higher harmonics, cross-modulation of a high frequency by a lo[r] ...
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Towards a complete design of linear functional observers
... lime functional observer for linear systems, 44th IEEE CDC and ...for linear functions of the state via rcalization thcory, IEEE Transac11ons on A1110111atic Contrai, ...
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Daubechies Wavelets for Linear Scaling Density Functional Theory
... Institut N´ eel, CNRS and Universit´ e Joseph Fourier, B.P. 166, 38042 Grenoble Cedex 09, France (Dated: June 4, 2014) We demonstrate that Daubechies wavelets can be used to construct a minimal set of optimized localized ...
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Semi-linear diffusive representations for non-linear fractional differential systems
... The previous analysis amounts to the maximum principle for the case 6 = 1 2 . The formulation by a heat equation (namely, heat equation formulations) can not be overcome; it gives valuable information thanks to the ...
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Computing upper and lower bounds on linear functional outputs from linear coercive partial differential equations
... Chapter 3 recasts the energy bound method as a method for linear functional output bounds for Poisson's equation, simultaneously extending the energy bound to more rele[r] ...
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Non-linear externalities in firm localization
... The present work extends the localization model originally presented by Bottazzi et al. (2007) by allowing for quadratic externalities. In carrying out such an extension, two key characteristics of the original framework ...
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Non-linear electro-elastic coupling in non-centrosymmetric materials
... the non-linear tensors can be strongly ...of non-centrosymmetric materials, an additional term related to the linear piezoelectricity and the non-linear susceptibility must be ...
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Number of eigenvalues for a class of non-selfadjoint Schrödinger operators
... universal estimates hold. See [20] for a recent survey on this topic. The study of the number of eigenvalues for Schr¨odinger operators with complex-valued potentials has also a long history ([5, 17, 24]). But there are ...
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Smoothing effect for the regularized Schrödinger equation with non controlled orbits
... 4 u(t, x) | 2 dxdt ≤ C R ku 0 k 2 L 2 (R d ) . (2) In particular, this result implies that for a.e. t ∈ R, u(t, .) is locally smoother than u0 and this happens despite the fact that (1) conserves the global L 2 norm. The ...
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Équation de Schrödinger
... 3.4 Équation de Schrödinger sur R Référence : J. Rauch, Partial differential equations, Springer, 1991. 1 Leçons concernées : 201, 222, 239, 250. Théorème 1. Soit f P SpRq. Alors il existe une unique fonction u P ...
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