基于加权黎曼流形上的广义非线性热型方程的梯度估计
机器学习
2024-04-25 v1 人工智能
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摘要
本文推导了在沿着Super-Perelman黎曼流形演化的广义非线性热型方程\n\begin{equation*}\n(\partial_t-\Delta_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcal{G}(u)\n\end{equation*}\n的正解的梯度估计。作为应用，我们推导出沿着该方程的Harnack型不等式及Liouville型定理。
引用
@article{arxiv.2404.15704,
title = {Efficient Multi-Model Fusion with Adversarial Complementary Representation Learning},
author = {Zuheng Kang and Yayun He and Jianzong Wang and Junqing Peng and Jing Xiao},
journal= {arXiv preprint arXiv:2404.15704},
year = {2024}
}
备注
Accepted by the 2024 International Joint Conference on Neural Networks (IJCNN 2024)