Zobrazeno 1 - 10
of 13 691
pro vyhledávání: '"Subject classification"'
Autor:
Ando, Ryoya
The class of semi-hereditary rings is an important class of rings in theories that do not assume the Noetherian condition, such as perfectoid ring theory. We prove several results concerning the structure theory of this class, focusing on the relatio
Externí odkaz:
http://arxiv.org/abs/2412.16618
In this paper, several significant upper bounds for the numerical radius and $a$-numerical radius of an element in a $\mathcal{C}^*$-algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on spe
Externí odkaz:
http://arxiv.org/abs/2411.04875
This paper deals with the regularization of the sum of functions defined on a locally convex spaces through their closed-convex hulls in the bidual space. Different conditions guaranteeing that the closed-convex hull of the sum is the sum of the corr
Externí odkaz:
http://arxiv.org/abs/2410.01436
Autor:
Hsu, Shu-Yu
Let $\Omega\subset\mathbb{R}^n$, $n\ge 2$, be a bounded connected $C^2$ domain. For any unit vector $\nu\in\mathbb{R}^n$, let $T_{\lambda}^{\nu}=\{x\in\mathbb{R}^n:x\cdot\nu=\lambda\}$, $\Sigma_{\lambda}^{\nu}=\{x\in\Omega:x\cdot\nu<\lambda\}$ and $x
Externí odkaz:
http://arxiv.org/abs/2409.10834
Autor:
Saha, Bhola Nath, Sanki, Bidyut
A pair $(\alpha, \beta)$ of simple closed curves on a surface $S_{g,n}$ of genus $g$ and with $n$ punctures is called a filling pair if the complement of the union of the curves is a disjoint union of topological disks and once punctured disks. In th
Externí odkaz:
http://arxiv.org/abs/2409.05483
Autor:
Joseph, Kayyunnapara Divya
Hyperbolic systems of the first and higher-order partial differential equations appear in many multiphysics problems. We will be dealing with a wave propagation problem in a piece-wise homogeneous medium. Mathematically, the problem is reduced to ana
Externí odkaz:
http://arxiv.org/abs/2408.15100
Autor:
de Jeu, Marcel, Jiang, Xingni
We define the free Banach lattice over a pre-ordered Banach space in a category of Banach lattices of a given convexity type, and show its existence. The subsumption of a pre-ordering necessitates an approach that differs fundamentally from the known
Externí odkaz:
http://arxiv.org/abs/2408.06630
Autor:
Shieh, Chung-Tsun, Tsai, Tzong-Mo
This research was devoted to investigate the inverse spectral problem of Sturm-Liouville operator with many frozen arguments. Under some assumptions, the authors obtained uniqueness theorems. At the end, a numerical simulation for the inverse problem
Externí odkaz:
http://arxiv.org/abs/2407.14889
In this paper, we study the Cauchy problem for the inhomogeneous nonlinear Schr\"{o}dinger equation with inverse-power potential \[iu_{t} +\Delta u-c|x|^{-a}u=\pm |x|^{-b} |u|^{\sigma } u,\;\;(t,x)\in \mathbb R\times\mathbb R^{d},\] where $d\in \math
Externí odkaz:
http://arxiv.org/abs/2406.16365
Autor:
Liao, Xin
In this paper, building on the ideas of Brasco and Pratelli (Geom. Funct. Anal., 22 (2012), 107-135), we establish a stability estimate for Bucur and Henrot's inequality (Acta Math., 222 (2019), 337-361). Their inequality asserts that, among regular
Externí odkaz:
http://arxiv.org/abs/2405.20050