most citedOn the uniqueness of solutions to the Gross-Pitaevskii hierarchy

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math.AP2020★ 2 cited

Global estimates for the Hartree-Fock-Bogoliubov equations

Jacky Jia Wei Chong, Manoussos G. Grillakis, Matei Machedon +1

We prove that certain Sobolev-type norms, slightly stronger than those given by energy conservation, stay bounded uniformly in time and . This allows one to extend the local exi…

math.AP2020

Counterexamples to collapsing estimates

Xiumin Du, Matei Machedon

We show that certain 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…