Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

Abstract We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in %${\mathbb{R}^{3}}%$ and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering...
Ausführliche Beschreibung

Abstract We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in %${\mathbb{R}^{3}}%$ and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate %${\frac{1}{\left\langle x\right\rangle }}%$ , some refined estimates for the charge transfer model are also established. Ausführliche Beschreibung