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A NOTE ON FOURTH-ORDER NONLINEAR SCHRODINGER EQUATION
Journal article   Peer reviewed

A NOTE ON FOURTH-ORDER NONLINEAR SCHRODINGER EQUATION

Annals of functional analysis, Vol.6(1), pp.249-266
01/01/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider in four space dimensions, the initial value problem for a fourth-order semi-linear Schrodinger 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.

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