권호 표지

대한수학회지 (Journal of the Korean Mathematical Society) (Journal of the Korean Mathematical Society)

대한수학회 (Korean Mathematical Society)

  • 격월간
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)

Aim & Scope

This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).

http://jkms.kms.or.kr/submission KSCI KCI SCOPUS SCI SCIE

제60권3호

  1. Hyenho Lho 479
    https://doi.org/10.4134/JKMS.j210448 PDF
    We study the rationality and symmetry of the Gromov-Witten invariants of the projective line twisted by certain line bundles.
  2. Chun-Ru Fu;Huan-Nan Shi;Dong-Sheng Wang 503
    https://doi.org/10.4134/JKMS.j220039 PDF
    In this paper, using the theory of majorization, we discuss the Schur m power convexity for L-conjugate means of n variables and the Schur convexity for weighted L-conjugate means of n variables. As applications, we get several inequalities of general mean satisfying Schur convexity, and a few comparative inequalities about n variables Gini mean are established.
  3. Xiaolei Zhang 521
    https://doi.org/10.4134/JKMS.j220055 PDF
    Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we introduce and study the notions of u-S-pure u-S-exact sequences and uniformly S-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then we characterize uniformly S-von Neumann regular rings and uniformly S-Noetherian rings using uniformly S-absolutely pure modules.
  4. Zhi-He Chen 537
    https://doi.org/10.4134/JKMS.j220111 PDF
    In this paper, we are mainly concerned with two-sided estimates for transition probabilities of symmetric Markov chains on ℤd, whose one-step transition probability is comparable to |x - y|-dϕj (|x - y|)-1 with ϕj being a positive regularly varying function on [1, ∞) with index α ∈ [2, ∞). For upper bounds, we directly apply the comparison idea and the Davies method, which considerably improves the existing arguments in the literature; while for lower bounds the relation with the corresponding continuous time symmetric Markov chains are fully used. In particular, our results answer one open question mentioned in the paper by Murugan and Saloff-Coste (2015).
  5. Ugur Sert 565
    https://doi.org/10.4134/JKMS.j220129 PDF
    We study the Dirichlet problem for the degenerate nonlocal parabolic equation ut - a(||∇u||2L2(Ω))∆u = Cb ||u||βL2(Ω) |u|q(x,t)-2 u log |u| + f in QT, where QT := Ω × (0, T), T > 0, Ω ⊂ ℝN, N ≥ 2, is a bounded domain with a sufficiently smooth boundary, q(x, t) is a measurable function in QT with values in an interval [q-, q+] ⊂ (1, ∞) and the diffusion coefficient a(·) is a continuous function defined on ℝ+. It is assumed that a(s) → 0 or a(s) → ∞ as s → 0+, therefore the equation degenerates or becomes singular as ||∇u(t)||2 → 0. For both cases, we show that under appropriate conditions on a, β, q, f the problem has a global in time strong solution which possesses the following global regularity property: ∆u ∈ L2(QT) and a(||∇u||2L2(Ω))∆u ∈ L2(QT ).
  6. Qingfang Shi;Xinli Zhang 587
    https://doi.org/10.4134/JKMS.j220285 PDF
    In this paper, we consider the existence of time periodic solutions for the compressible magneto-micropolar fluids in the whole space ℝ3. In particular, we first solve the problem in a sequence of bounded domains by the topological degree theory. Then we obtain the existence of time periodic solutions in ℝ3 by a limiting process.
  7. Jaewook Ahn;Myeonghyeon Kim 619
    https://doi.org/10.4134/JKMS.j220424 PDF
    This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in ℝd, d ≥ 3, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.
  8. Youchan Kim;Pilsoo Shin 635
    https://doi.org/10.4134/JKMS.j220428 PDF
    In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the weak solutions and which is not only locally piecewise Hölder continuous but locally Hölder continuous. The gradient of the weak solutions can be estimated by this derived function and we also prove the local piecewise gradient Hölder continuity which was obtained by the previous results.
  9. Zhongkui Liu;Pengju Ma;Xiaoyan Yang 683
    https://doi.org/10.4134/JKMS.j220479 PDF
    Let a be an ideal of 𝔞 commutative noetherian ring R. We give some descriptions of the 𝔞-depth of 𝔞-relative Cohen-Macaulay modules by cohomological dimensions, and study how relative Cohen-Macaulayness behaves under flat extensions. As applications, the perseverance of relative Cohen-Macaulayness in a polynomial ring, formal power series ring and completion are given.