Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity

We first prove homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogenized solution.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-05-01
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
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article

Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity

arXiv (Cornell University)
Advanced Mathematical Physics Problems
article

Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity

article en

Abstract

We first prove homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogenized solution.

arXiv (Cornell University)
Openalex Percentile: Top 45%
Advanced Mathematical Physics Problems
Open Access PDFOpenAlex
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Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS