Global dynamics below the ground state energy for the Zakharov system in the 3D radial case

Abstract

We consider the global dynamics below the ground state energy for the Zakharov system in the 3D radial case. We obtain dichotomy between the scattering and the growup.

arXiv comment28 pages

References in corpus (3)

• A sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation
• Convolutions of singular measures and applications to the Zakharov system
• Local well-posedness for the Zakharov system on multidimensional torus