Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS

2020/11/09 by Cardoso, Mykael, Guzmán, Carlos M., Pastor, Ademir · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.04715

Abstract

We consider the inhomogeneous biharmonic nonlinear Schrödinger (IBNLS) equation in ℝ^N, i ∂_t u +Δ² u -|x|^-b |u|^2σu = 0, where σ>0 and b>0. We first study the local well-posedness in H^s_c∩ H² , for N≥ 5 and 0

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