Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
We consider the following class of focusing L2-supercritical fourth-order nonlinear Schrödinger equations where N ⩾ 2, μ ⩾ 0, and with if N ⩾ 5 and α* = ∞ if N ⩽ 4. By using the localized Morawetz estimates and radial Sobolev embedding, we establish the energy scattering below the …