Scattering of radial data in the focusing NLS and generalized Hartree equations

2019/04/11 by Arora, Anudeep Kumar · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.05800

Abstract

We consider the focusing nonlinear Schrödinger equation i u_t + Δu + |u|^p-1u=0, p>1, and the generalized Hartree equation iv_t + Δv + (|x|^-(N-γ)∗ |v|^p)|v|^p-2u=0, p≥2, γ

Cited by

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

Related

• Scattering for the focusing H^1/2-critical Hartree equation with radial data
• Scattering for the non-radial inhomogeneous Hartree equation with a potential
• Scattering for the radial focusing INLS equation in higher dimensions
• Scattering for the radial 3D cubic focusing inhomogeneous nonlinear\n Schr "odinger equation
• A remark on the scattering theory for the 2d radial focusing INLS