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math.AP2010★ 9 cited
Finite time blow-up for a wave equation with a nonlocal nonlinearity
Ahmad Fino, Mokhtar Kirane, Vladimir Georgiev
In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on…
math.AP2010
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential
Vladimir Georgiev, George Venkov
In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overco…