广义拉普拉斯的特征值和 I 型的 G 动力学

在本文中，我们考虑了配备 I 型、狄利克雷和诺依曼特征值问题的 G 动力学算子 扩展到与I型的G动力学相关联，证明 I型的G动力学满足一个完整的恒等式。II型的G动力学 对于广义的拉普拉斯也进行了研究。使用一般方法相关 狄利克雷特征值问题，广义估计分析 拉普拉斯有一些条件。

Eigenvalues of the generalized Laplacian and the G-dynamics of type I

In this paper, we consider the generalized Laplace operator equipped with the G-dynamics operator of type I, the Dirichlet and Neumann eigenvalue problems are extended to associate with the G-dynamics of type I, it is proved that the G-dynamics of type I satisfies an integral identity. The G-dynamics of type II for generalized Laplacian is studied as well. Using the general method related to Dirichlet eigenvalue problem, an estimate analysis for the generalized Laplacian with some conditions is made.

[2211.14783] Eigenvalues of the generalized Laplacian and the G-dynamics of type I (arxiv.org)