Symplectic non-squeezing for mass subcritical fourth-order Schrödinger equations
Volume 149 / 2017
Colloquium Mathematicum 149 (2017), 137-164
MSC: Primary 35P25; Secondary 35Q55.
DOI: 10.4064/cm7088-11-2016
Published online: 30 June 2017
Abstract
Applying strategies of R. Killip et al. (2016), we establish symplectic non-squeezing for the mass subcritical fourth-order Schrödinger equations $iu_t-\varDelta ^2 u=\pm |u|^pu$ with $3/2 \lt p \lt 8$ in dimension one.
