Modified Scattering for the Schrödinger-Bopp-Podolsky Equation

2023/06/21 by Tim Van Hoose, Van Hoose, Tim
Mathematics · #Advanced Mathematical Physics Problems #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2306.12561

Abstract

We prove sharp L^∞ decay and modified scattering for the Schrödinger-Bopp-Podolsky equation in 2 and 3 spatial dimensions with small initial data chosen from a weighted Sobolev space.

Related

• Modified Scattering for Nonlocal Nonlinear Schrödinger Equations
• Modified Scattering for the Hartree Nonlinear Schrödinger Equation
• Decay and Scattering in energy space for the solution of weakly coupled Schrödinger-Choquard and Hartree-Fock equations
• The modified scattering of 2 dimensional semi-relativistic Hartree equations
• Decay and scattering of solutions to nonlinear Schrödinger equations with regular potentials for nonlinearities of sharp growth