复合介质、近似接触圆盘与最大原理
人工智能
2025-07-04 v1 机器学习
摘要
我们考虑两个圆盘位于 中的域中且近似接触，且具有有限且正的电导率，导致出现具有不可导系数的散点型椭圆方程。我们利用最大原理给出了 Li-Vogelius 梯度界的一种新证明。
引用
@article{arxiv.2507.02076,
title = {Reasoning on a Budget: A Survey of Adaptive and Controllable Test-Time Compute in LLMs},
author = {Mohammad Ali Alomrani and Yingxue Zhang and Derek Li and Qianyi Sun and Soumyasundar Pal and Zhanguang Zhang and Yaochen Hu and Rohan Deepak Ajwani and Antonios Valkanas and Raika Karimi and Peng Cheng and Yunzhou Wang and Pengyi Liao and Hanrui Huang and Bin Wang and Jianye Hao and Mark Coates},
journal= {arXiv preprint arXiv:2507.02076},
year = {2025}
}