Wave equations with moving potentials

Abstract

In this paper, we study the endpoint reversed Strichartz estimates along general time-like trajectories for wave equations in ${\mathbb{R}}^3$. We also discuss some applications of the reversed Strichartz estimates and the structure of wave operators to the wave equation with one potential. These techniques are useful to analyze the stability problem of traveling solitons.

52 pages. arXiv admin note: text overlap with arXiv:1610.05226

References in corpus (3)

• Asymptotic stability of N-soliton states of NLS
• Generic and non-generic behavior of solutions to the defocusing energy critical wave equation with potential in the radial case
• Strichartz Estimates for Wave equations with Charge Transfer Hamiltonian

Cited by in corpus (2)

• Multisolitons for the defocusing energy critical wave equation with potentials
• Strichartz Estimates for Wave equations with Charge Transfer Hamiltonian