Zobrazeno 1 - 10
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pro vyhledávání: '"Esteban, Maria J."'
Autor:
Esteban, Maria J.
Publikováno v:
Comptes Rendus. Physique, Vol 21, Iss 2, Pp 177-183 (2020)
This Note describes various analytical and computational results concerning the calculation of Dirac eigenvalues, or more generally, of operators with gaps. An algorithm based on an abstract theorem characterizing the eigenvalues in gaps was found ye
Externí odkaz:
https://doaj.org/article/9acc61d5cf6741eeb1ac15fd470cd553
In this paper, we present recent stability results with explicit and dimensionally sharp constants and optimal norms for the Sobolev inequality and for the Gaussian logarithmic Sobolev inequality obtained by the authors in [24]. The stability for the
Externí odkaz:
http://arxiv.org/abs/2402.08527
We prove a sharp quantitative version for the stability of the Sobolev inequality with explicit constants. Moreover, the constants have the correct behavior in the limit of large dimensions, which allows us to deduce an optimal quantitative stability
Externí odkaz:
http://arxiv.org/abs/2209.08651
Publikováno v:
J. Spectr. Theory 13 (2023), no. 2, pp. 491-524
We consider a linear symmetric operator in a Hilbert space that is neither bounded from above nor from below, admits a block decomposition corresponding to an orthogonal splitting of the Hilbert space and has a variational gap property associated wit
Externí odkaz:
http://arxiv.org/abs/2206.11679
Publikováno v:
J. Funct. Anal. 174 (2000), p. 208-226
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like
Externí odkaz:
http://arxiv.org/abs/2206.06327
Publikováno v:
In: Morel, JM., Teissier, B. (eds) Mathematics Going Forward, LNM 2313 (2023), pp. 487--497
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic quantum electron moving in the field of some (pointwise or extended) n
Externí odkaz:
http://arxiv.org/abs/2203.13484
Autor:
Dolbeault, Jean, Esteban, Maria J.
The purpose of this text is twofold. We present a review of the existing stability results for Sobolev, Hardy-Littlewood-Sobolev (HLS) and related inequalities. We also contribute to the topic with some observations on constructive stability estimate
Externí odkaz:
http://arxiv.org/abs/2202.02972
Autor:
Esteban, Maria J.
In this paper we study a family of interpolation Gagliardo-Nirenberg-Sololev inequalities on planar graphs. We are interested in knowing when the best constants in the inequalities are achieved. We also analyse the set of solutions of the correspondi
Externí odkaz:
http://arxiv.org/abs/2110.07212
This paper is devoted to the study of the two-dimensional Dirac-Coulomb operator in presence of an Aharonov-Bohm external magnetic potential. We characterize the highest intensity of the magnetic field for which a two-dimensional magnetic Hardy inequ
Externí odkaz:
http://arxiv.org/abs/2011.00039
Publikováno v:
Proceedings of the London Mathematical Society 123 (2021), Issue 4, pp. 345--383
Consider the Coulomb potential $-\mu\ast|x|^{-1}$ generated by a non-negative finite measure $\mu$. It is well known that the lowest eigenvalue of the corresponding Schr\"odinger operator $-\Delta/2-\mu\ast|x|^{-1}$ is minimized, at fixed mass $\mu(\
Externí odkaz:
http://arxiv.org/abs/2003.04051