Uniform in $N$ estimates for a Bosonic system of Hartree-Fock-Bogoliubov type

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

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Hauptverfasser: Grillakis, Manoussos G, Machedon, Matei
Format: Artikel
Sprache:eng
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Zusammenfassung: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
DOI:10.48550/arxiv.1808.06448