Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems

2009/05/28 by Eugenio Montefusco, Montefusco, Eugenio, Benedetta Pellacci +3
Mathematics · #34B18 #34G20 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.AP #msc:34B18 #msc:34G20 #msc:35Q55

paper · pdf · doi:10.48550/arxiv.0905.4618

18 pages, 1 figure

openalex publication_date 2009/05/28 · arxiv created 2009/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the spectral structure of the complex linearized operator for a class of nonlinear Schrödinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

Citations

• Orbital stability of standing waves for some nonlinear Schr�dinger equations

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