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Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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Ahead of Print Articles
The following are papers that have received final approval and are awaiting to be published. They are listed in the order of their initial submission date.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.
Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.
* Paper information have been automatically generated from the information submitted by authors in the online submission system.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.
Note: Please understand the below list is not in the exact publishing order of the papers as the list does not include papers under internal reviewing process nor those that have not been galley proofed by the authors.
Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.
* Paper information have been automatically generated from the information submitted by authors in the online submission system.
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Online first article April 15, 2024
self-pair homotopy equivalences related to co-variant functors
Ho Won Choi, Kee Young Lee, and Hye Seon ShinAbstract : The category of pairs is the category whose objects are maps between two based spaces and morphisms are pair-maps from one object to another object. We use covariant functors from the category of based topological spaces and based maps to the category of groups and homomorphisms to study the self-homotopy equivalences in the category of pairs. We introduce specific subgroups of groups of self-pair homotopy equivalences and put these groups together into certain sequences. We investigate properties of the sequence, in particular, the exactness. We apply the results to two special functors, homotopy and homology functors to determine the suggested several subgroups of groups of self-pair homotopy equivalences.
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Online first article April 15, 2024
Smooth Singular Value Thresholding Algorithm for Low-Rank Matrix Completion Problem
Geunseop LeeAbstract : The matrix completion problem is to predict missing entries of a data matrix using the low-rank approximation of the observed entries. Consequently, typical matrix completion problem approaches employ thresholding in the singular values of the data matrix. However, these approaches have some limitations. In particular, a discontinuity is present near the thresholding value, and the thresholding value must be manually selected. To overcome these difficulties, we propose a shrinkage and thresholding function that smoothly thresholds the singular values to obtain an accurate and robust estimation of the data matrix. Moreover, the proposed function is differentiable so that the thresholding values can be adaptively calculated during the iterations using Stein unbiased risk estimate. The experimental results show that the proposed algorithm yields a more accurate estimation with a faster execution than other matrix completion algorithms in image inpainting problems.
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Online first article April 15, 2024
Properties of positive solutions for the fractional Laplacian systems with positive-negative mixed powers
Zhongxue Lü, Mengjia Niu, Yuanyuan Shen, and Anjie YuanAbstract : In this paper, by establishing the direct method of moving planes for the fractional Laplacian system with positive-negative mixed powers, we obtain the radial symmetry and monotonicity of the positive solutions for the fractional Laplacian systems with positive-negative mixed powers in the whole space. We also give four special cases.
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Online first article February 26, 2024
Continuity of the maximal commutators in Sobolev spaces
Xixi Jiang and Feng LiuAbstract : We prove the Sobolev continuity of maximal commutator and its fractional variant with Lipschitz symbols, both in the global and local cases. The main result in global case answers a question originally posed by Liu and Wang in \cite{LW}.
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Online first article April 9, 2024
Singular hyperbolicity of C^1 generic three dimensional vector fields
Manseob LeeAbstract : In the paper, we show that for a generic C^1 vector field X on a closed three dimensional manifold M, any isolated transitive set of X is singular hyperbolic. It is a partial answer of the conjecture in [13].
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Online first article April 11, 2024
Reduction of Abelian Varieties and Curves
Moshe Jarden and Aharon RazonAbstract : Consider a noetherian domain R0 with quotient field K0. Let K be a finitely generated regular transcendental field extension of K0. We con- struct a noetherian domain R with Quot(R) = K that contains R0 and embed Spec(R0) into Spec(R). Then, we prove that key properties of abelian varieties and smooth geometrically integral projective curves over K are preserved under reduction modulo p for "almost all" p 2 Spec(R0).
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Online first article April 16, 2024
Totally real and complex subspaces of a right quaternionic vector space with a Hermitian form of signature (n,1)
Sungwoon KimAbstract : We study totally real and complex subsets of a right quaternionic vector space of dimension n + 1 with a Hermitian form of signature (n; 1) and extend these notions to right quaternionic projective space. Then we give a necessary and sufficient condition for a subset of a right quaternionic projective space to be totally real or complex in terms of the quaternionic Hermitian triple product. As an application, we show that the limit set of a non-elementary quaternionic Kleinian group is totally real (resp. commutative) with respect to the quaternionic Hermitian triple product if and only if it leaves a real (resp. complex) hyperbolic subspace invariant.
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Online first article April 24, 2024
Collective behaviors of second-order nonlinear consensus models with a bonding force
Hyunjin Ahn, Junhyeok Byeon, Seung-Yeal Ha, and Jaeyoung YoonAbstract : We study the collective behaviors of two second-order nonlinear consensus models with a bonding force, namely the Kuramoto model and the Cucker-Smale model with inter-particle bonding force. The proposed models contain feedback control terms which induce collision avoidance and emergent consensus dynamics in a suitable framework. Through the cooperative interplays between feedback controls, initial state configuration tends to an ordered configuration asymptotically under suitable frameworks which are formulated in terms of system parameters and initial configurations. For a two-particle system on the real line, we show that the relative state tends to the preassigned value asymptotically, and we also provide several numerical examples to analyze the possible nonlinear dynamics of the proposed models, and compare them with analytical results.
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Online first article April 11, 2024
$(\mathcal{V},\mathcal{W},\mathcal{Y},\mathcal{X})$-Gorenstein complexes
yanjie Li and Renyu ZhaoAbstract : Let $\mathcal{V},\mathcal{W},\mathcal{Y},\mathcal{X}$ be four classes of left $R$-modules. The notion of $(\mathcal{V, W, Y, X})$-Gorenstein $R$-complexes is introduced, and it is shown that under certain mild technical assumptions on $\mathcal{V},\mathcal{W},\mathcal{Y},\mathcal{X}$, an $R$-complex $M$ is $(\mathcal{V, W, Y, X})$-Gorenstein if and only if the module in each degree of $M$ is $(\mathcal{V, W, Y, X})$-Gorenstein and the total Hom complexs Hom$_R(Y,M)$, Hom$_R(M,X)$ are exact for any $Y\in\widetilde{\mathcal{Y}}$ and any $X\in\widetilde{\mathcal{X}}$. Many known results are recovered, and some new cases are also naturally generated.
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Online first article April 11, 2024
An invariant forth-order curve flow in centro-affine geometry
YUANYUAN GONG and YANHUA YUAbstract : In this paper, we are devoted to focus on studying a forth order curve flow for a smooth closed curve in centro-affine geometry. Firstly, a new evolutionary equation about this curve flow is proposed. Then the related geometric quantities and some meaningful conclusions are obtained through the equation. Next, we obtain finite order differential inequalities for energy by applying interpolation inequalities, Cauchy Schwartz inequalities, etc. After using a completely new symbolic expression, the n-order differential inequality for energy is considered. Finally, by the means of energy estimation, we prove that the forth order curve flow has a smooth solution all the time for any smooth closed initial curve.
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Online first article April 11, 2024
Asymptotic behavior for strongly damped wave equations on $\mathbb R^3$ with memory
Xuan-Quang Bui, Duong Toan Nguyen, and Trong Luong VuAbstract : We consider the following strongly damped wave equation on $\mathbb{R}^3$ with memory $$ u_{tt} - \alpha \Delta u_{t} - \beta \Delta u +\lambda u - \int_{0}^\infty \kappa'( s) \Delta u(t-s)ds+ f(x,u) +g(x,u_t)=h, $$ where a quite general memory kernel and the nonlinearity $f$ exhibit a critical growth. Existence, uniqueness and continuous dependence results are provided as well as the existence of regular global and exponential attractors of finite fractal dimension.
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