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math.AP2012★ 49 cited
On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
P. Gressman, V. Sohinger, G. Staffilani
In this paper, we present a uniqueness result for solutions to the Gross-Pitaevskii hierarchy on the three-dimensional torus, under the assumption of an a priori spacetime bound. W…
math.AP2012★ 27 cited
A non-local inequality and global existence
Philip T. Gressman, Joachim Krieger, Robert M. Strain
In this article we prove a collection of new non-linear and non-local integral inequalities. As an example for and we obtain $$ \int_{\threed} dx ~ u^{p+…