Zobrazeno 1 - 10
of 559
pro vyhledávání: '"SU, Xiaoyan"'
The main mathematical manifestation of the Stark effect in quantum mechanics is the shift and the formation of clusters of eigenvalues when a spherical Hamiltonian is perturbed by lower order terms. Understanding this mechanism turned out to be funda
Externí odkaz:
http://arxiv.org/abs/2412.04406
In the past, research on a single low dimensional activation function in networks has led to internal covariate shift and gradient deviation problems. A relatively small research area is how to use function combinations to provide property completion
Externí odkaz:
http://arxiv.org/abs/2405.03712
Publikováno v:
Bull. London Math. Soc., 55: 2705-2717 (2023)
In this paper, we show that for $\alpha\in(1/2,5/4)$, there exists a force $f$ and two distinct Leray-Hopf flows $u_1,u_2$ solving the forced fractional Navier-Stokes equation starting from rest. This shows that the J.L. Lions exponent is sharp in th
Externí odkaz:
http://arxiv.org/abs/2306.06358
In this paper, we study the $2$D cubic nonlinear Schr\"odinger equation (NLS) with the partial harmonic potential. First, we prove the local well-posedness in Bourgain spaces by establishing a key bilinear estimate associated with the partial harmoni
Externí odkaz:
http://arxiv.org/abs/2304.02995
We prove a Mikhlin--H\"ormander multiplier theorem for the partial harmonic oscillator $H_{\textup{par}}=-\pa_\rho^2-\Delta_x+|x|^2$ for $(\rho, x)\in\R\times\R^d$ by using the Littlewood--Paley $g$ and $g^\ast$ functions and the associated heat kern
Externí odkaz:
http://arxiv.org/abs/2208.02065
In this paper, our goal is to establish the Sobolev space associated to the partial harmonic oscillator. Based on its heat kernel estimate, we firstly give the definition of the fractional powers of the partial harmonic oscillator $$\AH=-\partial_{\r
Externí odkaz:
http://arxiv.org/abs/2207.10461
Autor:
Liao, Yonghe a, c, 1, Yi, Tingzhuang b, 1, Tan, Kangyi a, c, 1, Su, Xiaoyan a, c, Chen, Shuixiu a, c, Lu, Mingyue c, Yang, Yanchun c, Huang, Xianxian c, Zhao, Yiheng b, Huang, Hong b, Jiang, Neng c, ⁎, Yan, Zhiming c, ⁎, Wei, Changhong a, ⁎
Publikováno v:
In Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 5 April 2025 330
Publikováno v:
In Simulation Modelling Practice and Theory February 2025 139
Autor:
Liu, Yongli, Su, Xiaoyan, Liu, Huanjia, Zhu, Guifen, Ge, Guobei, Wang, Yuxin, Zhou, Penghui, Zhou, Qingxiang
Publikováno v:
In Journal of Environmental Sciences February 2025 148:1-12