Global Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on ${\mathbb{R}}^2$

Engin Başakoğlu, Barış Yeşiloğlu, Oğuz Yılmaz

We study the global well-posedness of the two-dimensional defocusing fourth-order Schrödinger initial value problem with power type nonlinearities $|u{|}^{2k}u$ where $k$ is…