Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equation

2021/10/08 by Michael Röckner, Röckner, Michael, Yiming Su +3 · 1 citation
Mathematics · Physics and Astronomy · #35B40 #35B44 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2110.04107

openalex publication_date 2021/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a general class of focusing L²-critical nonlinear Schrödinger equations with lower order perturbations, for which the pseudo-conformal symmetry and the conservation law of energy are absent. In dimensions one and two, we construct Bourgain-Wang type solutions concentrating at K distinct singularities, 1≤ K

Citations

• Nonlinear Schr�dinger equations and sharp interpolation estimates
• Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations

Cited by

• Multi-solitons to focusing mass-supercritical stochastic nonlinear Schrödinger equations

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