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Global estimates for the Hartreeā€“Fockā€“Bogoliubov equations

Global estimates for the Hartreeā€“Fockā€“Bogoliubov equations

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 proof is based on interaction Morawetz-type estimates and Strichartz estimates ā€¦