Decay and scattering of solutions to nonlinear Schrödinger equations with regular potentials for nonlinearities of sharp growth

2015/02/08 by Ze Li, Lifeng Zhao, Li, Ze +1
Mathematics · #35B40 #35P25 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1502.02212

openalex publication_date 2015/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the decay and scattering in the energy space for nonlinear Schrödinger equations with regular potentials in \Bbb R^d namely, i∂ _tu + Δu - V(x)u + λ|u|^{p - 1}u = 0. We will prove decay estimate and scattering of the solution in the small data case when 1+(2)/(d)

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