Zobrazeno 1 - 10
of 14 508
pro vyhledávání: '"Xifeng An"'
In this paper, we deal with the following mixed local/nonlocal Schr\"{o}dinger equation \begin{equation*} \left\{ \begin{array}{ll} - \Delta u + (-\Delta)^s u+u = u^p \quad \hbox{in $\mathbb{R}^n$,} u>0 \quad \hbox{in $\mathbb{R}^n$,} \lim\limits_{|x
Externí odkaz:
http://arxiv.org/abs/2411.09941
This article is concerned with ``up to $C^{2, \alpha}$-regularity results'' about a mixed local-nonlocal nonlinear elliptic equation which is driven by the superposition of Laplacian and fractional Laplacian operators. First of all, an estimate on th
Externí odkaz:
http://arxiv.org/abs/2411.09930
We consider one dimensional chains of interacting particles subjected to one dimensional almost-periodic media. We formulate and prove two KAM type theorems corresponding to both short-range and long-range interactions respectively. Both theorems pre
Externí odkaz:
http://arxiv.org/abs/2411.05367
We are concerned with the mixed local/nonlocal Schr\"{o}dinger equation \begin{equation} - \Delta u + (-\Delta)^s u+u = u^{p+1} \quad \hbox{in $\mathbb{R}^n$,} \end{equation} for arbitrary space dimension $n\geqslant1$, $s\in(0,1)$, and $p\in(0,2^*-2
Externí odkaz:
http://arxiv.org/abs/2410.19616
As a type of figurative language, an East Asian idiom condenses rich cultural background into only a few characters. Translating such idioms is challenging for human translators, who often resort to choosing a context-aware translation from an existi
Externí odkaz:
http://arxiv.org/abs/2410.00988
Publikováno v:
Frontiers in Earth Science, Vol 10 (2022)
At present, the Carboniferous-Permian shale gas in the South North China Basin is still in the exploration stage, and the understanding of the microscopic pore structures, mineral composition and hydrocarbon enrichment law of the marine-continental t
Externí odkaz:
https://doaj.org/article/f01c08a1b20e4c339887fa6036de6ef8
Autor:
Wu, Yunkun, Wang, Shu, Lei, Xinrui, Mao, Jiahui, Lu, Liu, Liu, Yue, Qu, Guangyuan, Guo, Guangcan, Zhan, Qiwen, Ren, Xifeng
Topologically protected quasiparticles in optics have received increasing research attention recently, as they provide novel degree of freedom to manipulate light-matter interactions and exhibiting excellent potential in nanometrology and ultrafast v
Externí odkaz:
http://arxiv.org/abs/2409.07894
Autor:
Cheng, Yujie, Li, Xiaoting, Feng, Lantian, Li, Haochuan, Sun, Wenzhao, Song, Xinyu, Ding, Yuyang, Guo, Guangcan, Wang, Cheng, Ren, Xifeng
Periodically poled thin-film lithium niobate (TFLN) waveguides, which enable efficient quadratic nonlinear processes, serve as crucial foundation for classical and quantum signal processing with photonic integrated circuits. To expand their applicati
Externí odkaz:
http://arxiv.org/abs/2408.05907
Image recognition is an essential baseline for deep metric learning. Hierarchical knowledge about image classes depicts inter-class similarities or dissimilarities. Effective fusion of hierarchical knowledge about image classes to enhance image recog
Externí odkaz:
http://arxiv.org/abs/2407.20600
Autor:
Chen, Canyu, Huang, Baixiang, Li, Zekun, Chen, Zhaorun, Lai, Shiyang, Xu, Xiongxiao, Gu, Jia-Chen, Gu, Jindong, Yao, Huaxiu, Xiao, Chaowei, Yan, Xifeng, Wang, William Yang, Torr, Philip, Song, Dawn, Shu, Kai
Knowledge editing has been increasingly adopted to correct the false or outdated knowledge in Large Language Models (LLMs). Meanwhile, one critical but under-explored question is: can knowledge editing be used to inject harm into LLMs? In this paper,
Externí odkaz:
http://arxiv.org/abs/2407.20224