Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Machedon, Matei"'
We extend the results of the 2019 paper by the third and fourth author globally in time. More precisely, we prove uniform in $N$ estimates for the solutions $\phi$, $\Lambda$ and $\Gamma$ of a coupled system of Hartree-Fock-Bogoliubov type with inter
Externí odkaz:
http://arxiv.org/abs/2203.05447
We prove that certain Sobolev-type norms, slightly stronger than those given by energy conservation, stay bounded uniformly in time and $N$. This allows one to extend the local existence results of the second and third author globally in time. The pr
Externí odkaz:
http://arxiv.org/abs/2008.01753
Autor:
Du, Xiumin, Machedon, Matei
We show that certain $L^2$ space-time estimates for generalized density matrices which have been used by several authors in recent years to study equations of BBGKY or Hartree-Fock type, do not have non-trivial $L^pL^q$ generalizations.
Externí odkaz:
http://arxiv.org/abs/2002.08446
We prove local in time, uniform in $N$, estimates for the solutions $\phi$, $\Lambda$ and $\Gamma$ of a coupled system of Hartree-Fock-Bogoliubov type with interaction potential $v_N(x-y) =N^{3 \beta} v(N^{\beta}(x-y))$, with $\beta <1$ and $v$ a Sch
Externí odkaz:
http://arxiv.org/abs/1808.06448
Publikováno v:
Communications in Mathematical Physics, 294, 273-301 (2010)
Inspired by the works of Rodnianski and Schlein and Wu, we derive a new nonlinear Schr\"odinger equation that describes a second-order correction to the usual tensor product (mean-field) approximation for the Hamiltonian evolution of a many-particle
Externí odkaz:
http://arxiv.org/abs/0904.0158
Autor:
Klainerman, Sergiu, Machedon, Matei
Publikováno v:
CMP, Volume 279, Number 1 / April, 2008
We give a new proof of uniqueness of solutions to the Gross-Pitaevskii hierarchy, first established by Erdos, Schlein and Yau, in a different space, based on space-time estimates.
Externí odkaz:
http://arxiv.org/abs/math-ph/0701006
Publikováno v:
Quarterly of Applied Mathematics, 2017 Mar 01. 75(1), 69-104.
Externí odkaz:
https://www.jstor.org/stable/26835326
Autor:
Machedon, Matei, Sterbenz, Jacob
Publikováno v:
Journal of the American Mathematical Society, 2004 Apr 01. 17(2), 297-359.
Externí odkaz:
https://www.jstor.org/stable/20161197
Autor:
Machedon, Matei
Publikováno v:
Annals of Mathematics, 1988 Nov 01. 128(3), 619-640.
Externí odkaz:
https://www.jstor.org/stable/1971438
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.