Abstract
We consider the Cauchy problem for the nonlinear fourth-order Schrödinger equation in six space dimensions with a quadratic nonlinearity. We prove a global existence and time decay estimates of solutions if the data are small, regular and decay rapidly at infinity.
Citation
Kazuki Aoki. "Global existence of small solutions for a quadratic nonlinear fourth-order Schrödinger equation in six space dimensions." Tohoku Math. J. (2) 73 (1) 49 - 98, 2021. https://doi.org/10.2748/tmj.20191217
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