流形瘦化为图时Neumann拉普拉斯算子的范数预解收敛
偏微分方程分析
2024-04-09 v4 谱理论
摘要
在共振情形下,针对 中厚度参数趋于零时收敛到度量图的薄域上的Neumann拉普拉斯算子,建立了具有阶数精确误差估计的范数预解收敛。极限量子图的顶点匹配条件被揭示为与类型密切相关。
引用
@article{arxiv.2205.04397,
title = {Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs},
author = {Kirill D. Cherednichenko and Yulia Yu. Ershova and Alexander V. Kiselev},
journal= {arXiv preprint arXiv:2205.04397},
year = {2024}
}
备注
2 figures; continuation of arXiv 1808.03961; as accepted in Mathematics