On focusing coupled fourth-order nonlinear Schrodinger equations

Abstract

We investigate some focusing fourth-order coupled Schrodinger equations. Existence of ground state and global well-posedness are obtained. Moreover, the best constant of some Gagliardo-Nirenberg inequality is studied.

arXiv admin note: substantial text overlap with arXiv:1505.07506

References in corpus (1)

• Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case