Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Irina Nenciu"'
Autor:
Gheorghe Nenciu, Irina Nenciu
Publikováno v:
Journal of Functional Analysis. 273:2619-2654
We consider the problem of quantum and stochastic confinement for drift-diffusion equations on domains Ω ⊂ R d . We obtain various sufficient conditions on the behavior of the coefficients near the boundary of Ω which ensure the essential self-ad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e477994afa0812d4eb2bde895c424597
https://doi.org/10.1016/j.jfa.2017.06.022
https://doi.org/10.1016/j.jfa.2017.06.022
We prove essential self-adjointness of Dirac operators with Lorentz scalar potentials which grow sufficiently fast near the boundary $\partial\Omega$ of the spatial domain $\Omega\subset\mathbb R^d$. On the way, we first consider general symmetric fi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7666e1cdf798bdcaa86bd67c8ee5e87b
Publikováno v:
Advances in Mathematics. 301:1022-1061
We investigate closed, symmetric $L^2(\mathbb{R}^n)$-realizations $H$ of Schr\"odinger-type operators $(- \Delta +V)\upharpoonright_{C_0^{\infty}(\mathbb{R}^n \setminus \Sigma)}$ whose potential coefficient $V$ has a countable number of well-separate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::585ab6a2f14616bf20b601da2c2ad62e
https://doi.org/10.1016/j.aim.2016.08.008
https://doi.org/10.1016/j.aim.2016.08.008
Autor:
Irina Nenciu, Deniz Bilman
Publikováno v:
Physica D: Nonlinear Phenomena. 330:1-16
We present the results of an analytical and numerical study of the long-time behavior for certain Fermi-Pasta-Ulam (FPU) lattices viewed as perturbations of the completely integrable Toda lattice. Our main tools are the direct and inverse scattering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d4888d33973145d05b8529e72b753b3
https://doi.org/10.1016/j.physd.2016.03.017
https://doi.org/10.1016/j.physd.2016.03.017
We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f753bd8745896a464c64f927c2ed6903
http://arxiv.org/abs/1809.09236
http://arxiv.org/abs/1809.09236
Autor:
Irina Nenciu, Gheorghe Nenciu
We consider general symmetric systems of first order linear partial differential operators on domains $\Omega \subset \mathbb{R}^d$, and we seek sufficient conditions on the coefficients which ensure essential self-adjointness. The coefficients of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c773b273fc88fdfa274caec12305f82c
Autor:
Luen Chau Li, Irina Nenciu
Publikováno v:
Advances in Mathematics. 231:3330-3388
In this work, we show that the periodic defocusing Ablowitz–Ladik equation can be expressed as an isospectral deformation of Floquet CMV matrices. We then introduce a Poisson Lie group whose underlying group is a loop group and show that the set of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9969cc78bfc9586fcb7a3b1b8396ea53
https://doi.org/10.1016/j.aim.2012.08.006
https://doi.org/10.1016/j.aim.2012.08.006
Autor:
Irina Nenciu, Gheorghe Nenciu
Publikováno v:
Letters in Mathematical Physics. 98:207-223
We study the question of magnetic confinement of quantum particles on the unit disk $\ID$ in $\IR^2$, i.e. we wish to achieve confinement solely by means of the growth of the magnetic field $B(\vec x)$ near the boundary of the disk. In the spinless c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f09e66b5adbe2492bd02f64c5392c7bf
https://doi.org/10.1007/s11005-011-0506-9
https://doi.org/10.1007/s11005-011-0506-9
Autor:
Irina Nenciu
Publikováno v:
Proceedings of the American Mathematical Society. 136:2785-2792
We find a finite CMV matrix whose eigenvalues coincide with the Dirichlet data of a circular periodic problem. As a consequence, we obtain circular analogues of the classical trace formulae for periodic Jacobi matrices.
8 pages
8 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10d67ebb7acc04a6f0c606d80300fc16
https://doi.org/10.1090/s0002-9939-08-09132-6
https://doi.org/10.1090/s0002-9939-08-09132-6
Autor:
Irina Nenciu, Rowan Killip
Publikováno v:
Communications on Pure and Applied Mathematics. 60:1148-1188
We discuss a number of properties of CMV matrices, by which we mean the class of unitary matrices studied recently by Cantero, Moral, and Velazquez. We argue that they play an equivalent role among unitary matrices to that of Jacobi matrices among al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a941d9b04a07fa2f72b6a0a4b0d929c8
https://doi.org/10.1002/cpa.20160
https://doi.org/10.1002/cpa.20160