Blow-up solutions of the intercritical inhomogeneous NLS equation: the non-radial case

2021/05/22 by Cardoso, Mykael, Farah, Luiz Gustavo
#35B44 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.10748

Abstract

In this paper we consider the inhomogeneous nonlinear Schrödinger (INLS) equation i ∂_t u +Δu +|x|^-b |u|^2σu = 0, x ∈ ℝ^N with N≥ 3. We focus on the intercritical case, where the scaling invariant Sobolev index s_c=(N)/(2)-(2-b)/(2σ) satisfies 0

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