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Scattering for the non-radial inhomogeneous Hartree equation with a potential
Carlos M. Guzmán, Suerlan Silva, Gabriel Peçanha
In this work, we consider the focusing generalized inhomogeneous Hartree equation with potential \[ i u_t + Δu - V(x)u + \left(I_γ * |x|^{-b}|u|^{p}\right)|x|^{-b}|u|^{p-2}u = 0, \…
Global Dynamics of the Non-Radial Energy-Critical Inhomogeneous Biharmonic NLS
Carlos M. Guzmán, Sahbi Keraani, Chengbin Xu
We investigate the focusing inhomogeneous nonlinear biharmonic Schrödinger equation \[ i\partial_t u + Δ^2 u - |x|^{-b}|u|^p u = 0 \quad \text{on } \mathbb{R} \times \mathbb{R}^N,…
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…
Dynamics of the non-radial energy-critical inhomogeneous NLS
Carlos M. Guzmán, Chenbgin Xu
We consider the focusing inhomogeneous nonlinear Schrödinger equation \[ i\partial_t u + Δu + |x|^{-b}|u|^αu = 0\qtq{on}\R\times\R^N, \] with , a…
The energy-critical inhomogeneous generalized Hartree equation in 3D
Carlos M. Guzmán, Chengbin Xu
The purpose of this work is to study the energy-critical inhomogeneous generalized Hartree equation $$ i\pa_tu+Δu+|x|^{-b}(I_α\ast|\cdot|^{-b}|u|^{p})|u|^{p-2}u=0,\;\ x\in\R^3…