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math.AP2008★ 1 cited
Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation
Walter H. Aschbacher
We study the time dependent Hartree equation in the continuum, the semidiscrete, and the fully discrete setting. We prove existence-uniqueness, regularity, and approximation proper…
math.AP2008★ 1 cited
On phase segregation in nonlocal two-particle Hartree systems
Walter H. Aschbacher, Marco Squassina
We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and no…