Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free energy functionals, we determine for instance stationary states of the Hartree problem with temperature corresponding to various statistics.
 
 
Compactness properties for trace-class operators and applications to quantum mechanics
DOLBEAULT Jean, FELMER Patricio, MAYORGA-ZAMBRANO Juan
2006-39
05-08-2006
 
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