2 papers
math.AP2024
Scattering for the generalized Hartree equation with a potential
Carlos M. Guzmán, Cristian Loli, Luis P. Yapu
We consider the focusing generalized Hartree equation in with a potential, \begin{equation*} iu_t + Δu - V(x)u + (I_γ\ast |u|^p )|u|^{p-2} u=0, \end{equation*} where $I…
math-ph2019
Conserved quantities and Hamiltonization of nonholonomic systems
Paula Balseiro, Luis P. Yapu
This paper studies hamiltonization of nonholonomic systems using geometric tools. By making use of symmetries and suitable first integrals of the system, we explicitly define a glo…