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arxiv: 1505.08096 · v1 · pith:YAB7I77Mnew · submitted 2015-05-29 · 🧮 math.AP

On focusing coupled fourth-order nonlinear Schrodinger equations

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keywords coupledequationsfocusingfourth-orderschrodingersomebestconstant
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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.

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