Abstract
We consider in four space dimensions, the initial value problem for a fourth-order semi-linear Schröodinger equation with exponential type nonlinearity. In the defocusing sign, we obtain unconditional global well-posedness in the energy space. In the focusing case, global well-posedness via existence of ground state holds for small radial data.
Citation
Tarek Saanouni. "A note on fourth-order nonlinear Schrödinger equation." Ann. Funct. Anal. 6 (1) 249 - 266, 2015. https://doi.org/10.15352/afa/06-1-19
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