Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Fabricio Macià"'
Autor:
Fabricio Macià
Publikováno v:
Vietnam Journal of Mathematics. 49:919-936
We establish observability inequalities for various p roblems involving fractional Schrodinger operators (−Δ)α/2 + V, α > 0, on a compact Riemannian manifold. Observability from an open set for the corresponding fractional Schrodinger evolution
Publikováno v:
Journal of Hydrodynamics. 32:699-709
The aim of this work is to study the solution of the smoothed particle hydrodynamics (SPH) discrete formulation of the hydrostatic problem with a free surface. This problem, in which no time dependency is considered, takes the form of a system of lin
Publikováno v:
Computational Particle Mechanics. 8:325-336
Uniqueness of solutions to the SPH integral formulation of the hydrostatic problem, and the convergence of such solution to the exact linear pressure field, are theoretically demonstrated in this paper using Fourier analytical techniques. This proble
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We study a Schrödinger equation modeling the dynamics of an electron in a crystal in the asymptotic regime of small wave-length comparable to the characteristic scale of the crystal. Using Floquet Bloch decomposition, we obtain a description of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb6b542d7608380a218e2692d5c937cd
https://hal.archives-ouvertes.fr/hal-03039779v2/file/article_revise_3_01.pdf
https://hal.archives-ouvertes.fr/hal-03039779v2/file/article_revise_3_01.pdf
Autor:
Fabricio Macià
Publikováno v:
Research in PDEs and Related Fields ISBN: 9783031142673
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18ecfcef44cf11ddf28d676eb0e897ae
https://doi.org/10.1007/978-3-031-14268-0_5
https://doi.org/10.1007/978-3-031-14268-0_5
Publikováno v:
Journal of Functional Analysis. 283:109681
Uniqueness and reconstruction in the three-dimensional Calderón inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schrödinger operators $-Δ+q $. We study the Born approximation of $q$ in the ball, which a
Autor:
Gabriel Rivière, Fabricio Macià
Publikováno v:
Probabilistic Methods in Geometry, Topology and Spectral Theory. :139-153
We study a semi-classical Schr{\"o}dinger equation which describes the dynamics of an electron in a crystal in the presence of impurities. It is well-known that under suitable assumptions on the initial data, the wave function can be approximated in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15dfdc5bdf4283c6716417eb0ad7ec04
https://hal.archives-ouvertes.fr/hal-01736427
https://hal.archives-ouvertes.fr/hal-01736427
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030056568
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schrodinger-type equation in \(\mathbf{R}^d\). We describe quantitatively the localisation of the energy in a long-time semi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f875402c329f9fc73bafe5c84664d179
https://doi.org/10.1007/978-3-030-05657-5_7
https://doi.org/10.1007/978-3-030-05657-5_7
Autor:
Fabricio Macià, Gabriel Rivière
Publikováno v:
Communications in Mathematical Physics. 345:1019-1054
We study the long time dynamics of the Schrodinger equation on Zoll manifolds. We establish criteria under which the solutions of the Schrodinger equation can or cannot concentrate on a given closed geodesic. As an application, we derive some results