Dynamics of Partial Differential Equations
Volume 4 (2007)
Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
Pages: 197 – 225
Energy-critical fourth order Schrödinger equations are investigated. We establish local well-posedness and stability in a general setting, and we prove global well-posedness and scattering in the defocusing case for radially symmetrical initial data.
energy-critical fourth order Schrödinger equations, local wellposedness, global well-posedness
2010 Mathematics Subject Classification
35-xx, 42-xx, 76-xx