The nonlinear Schrödinger equation with sprinkled nonlinearity

2024/05/02 by Benjamin Harrop‐Griffiths, Rowan Killip, Harrop-Griffiths, Benjamin +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2405.01246

Abstract

We prove global well-posedness for the cubic nonlinear Schrödinger equation with nonlinearity concentrated on a homogeneous Poisson process.

Cited by

• Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity
• Asymptotic behavior of mass-critical Schrödinger equation in ℝ

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