Abstract
We investigate the initial value problem for an inhomogeneous nonlinear Schrödinger equation with a combined power nonlinearity. We prove global well-posedness in the defocusing case. In the focusing case, we prove existence of ground state and nonlinear instability of standing waves.
Citation
H. Hezzi. A. Marzouk. T. Saanouni. "A Note on the Inhomogeneous Schrödinger Equation with Mixed Power Nonlinearity." Commun. Math. Anal. 18 (2) 34 - 53, 2015.
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