Scattering for the non-radial inhomogeneous Hartree equation with a potential

2025/08/29 by Carlos M. Guzmán, Guzmán, Carlos M., S. Ravi P. Silva +3
Mathematics · #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2508.21822

Abstract

In this work, we consider the focusing generalized inhomogeneous Hartree equation with potential i u_t + Δu - V(x)u + (I_γ * |x|^-b|u|^p)|x|^-b|u|^p-2u = 0, where 0&lt;γ&lt;3 and 0<b></b>

Citations

• Scattering for the generalized Hartree equation with a potential
• A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS
• Scattering for the non-radial focusing inhomogeneous nonlinear Schrödinger-Choquard equation
• Scattering theory for a class of radial focusing inhomogeneous Hartree\n equations
• Global behavior of solutions to the focusing generalized Hartree\n equation
• Scattering of radial data in the focusing NLS and generalized Hartree equations
• Scattering for a Nonlinear Schrödinger Equation with a Potential
• Inhomogeneous Strichartz estimates
• On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation

Related

• Scattering theory for a class of radial focusing inhomogeneous Hartree\n equations
• Scattering for the generalized Hartree equation with a potential
• The energy-critical inhomogeneous generalized Hartree equation in 3D
• Scattering of radial data in the focusing NLS and generalized Hartree equations
• Scattering for a class of non-radial inhomogeneous bi-harmonic Hartree equations