Homogenization for the nonlinear Schr\"odinger equation with sprinkled nonlinearity
Analysis of PDEs
2026-02-19 v2
Abstract
We first prove homogenization for the nonlinear Schr\"odinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogenized solution.
Keywords
Cite
@article{arxiv.2505.00589,
title = {Homogenization for the nonlinear Schr\"odinger equation with sprinkled nonlinearity},
author = {Benjamin Harrop-Griffiths and Maria Ntekoume},
journal= {arXiv preprint arXiv:2505.00589},
year = {2026}
}
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41 pages