- 國立清華大學數學系

基本資料表

姓名

黃明傑 Min-Jei Huang

聯絡電話

03-571-5131 ext. 62230

mjhuang@math.nthu.edu.tw

Fax

03-572-3888

Web

http://www.math.nthu.edu.tw/~mjhuang/

教師

研究專長

微分算子、泛函分析

研究室

綜三館737室

相關連結

MathSciNet , Math Genealogy

學校名稱	國別	系所	學位	起迄年月
美國羅徹斯特大學		數學系	博士	~

服務機關名稱	單位	職務	期間
國立清華大學	數學系	教授	1995-08~
國立清華大學	數學系	副教授	1988-08~1995-07

論文名稱
Min-Jei Huang (2018), Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings, Acta Math. Hungar., 155, 355-361. (SCI)
Min-Jei Huang (2017), Upper bounds on the eigenvalue ratio for one-dimensional Schrödinger operators, J. Math. Anal. Appl., 452, 1031-1039. (SCI)
Min-Jei Huang (2016), The eigenvalue ratio for a class of densities, J. Math. Anal. Appl., 435, 944-954. (SCI)
Min-Jei Huang (2015), Upper bounds on the eigenvalue ratio for vibrating strings, J. Math. Anal. Appl., 430, 403-409. (SCI)
Duo-Yuan Chen and Min-Jei Huang (2014), Lower bounds on the eigenvalue gap for vibrating strings, J. Math. Anal. Appl., 417, 225-233. (SCI)
Duo-Yuan Chen and Min-Jei Huang (2012), Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line, Annales Henri Poincaré, 13, 85-101. (SCI)
Duo-Yuan Chen and Min-Jei Huang (2012), On the semiclassical approximation to the eigenvalue gap of Schrödinger operators, J. Math. Anal. Appl., 389, 1251-1258. (SCI)
Duo-Yuan Chen and Min-Jei Huang (2011), Dirichlet operators with convex potentials on the half-line, Acta Math. Hungar., 130, 195-201. (SCI)
Min-Jei Huang (2009), A note on the eigenvalue ratio of vibrating strings, Acta Math. Hungar., 123, 265-271. (SCI)
Min-Jei Huang and Tzong-Mo Tsai (2009), The eigenvalue gap for one dimensional Schrödinger operators with symmetric potentials, Proc. Roy. Soc. Edinburgh, 139A, 359-366. (SCI)
Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai (2009), Hilbert's projective metric and nonlinear elliptic problems, Nonlinear Anal., 71, 2576-2584. (SCI)
Min-Jei Huang and Duo-Yuan Chen (2007), Existence and uniqueness of positive periodic solutions for a class of differential delay equations, J. Math. Kyoto Univ., 47,.849-857. (SCI)
Min-Jei Huang (2007), The eigenvalue gap for vibrating strings with symmetric densities, Acta Math. Hungar., 117, 341-348. (SCI)
Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai (2007), Eigenvalue problems and fixed point theorems for a class of positive nonlinear operators, Math. Zeit. 257, 581-595. (SCI)
Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai (2006), Applications of Hilbert's projective metric to a class of positive nonlinear operators, Linear Algebra Appl., 413, 202-211. (SCI)
Min-Jei Huang (2004), On the Pólya-Schiffer convexity theorem and its applications for eigenvalues of vibrating strings, Taiwanese J. Math., 8, 489-497. (SCI)
Min-Jei Huang (2003), Comparison theorems for eigenvalues of one-dimensional Schrödinger operators, J. Math. Kyoto Univ., 43, 465-474. (SCI)
Min-Jei Huang (1999), On the eigenvalue ratio for vibrating strings, Proc. Amer. Math. Soc., 127, 1805-1813. (SCI)
Min-Jei Huang (1997), The first instability interval for Hill equations with symmetric single well potentials, Proc. Amer. Math. Soc., 125, 775-778. (SCI)
Min-Jei Huang (1996), Remarks on invariant subspaces and Lp-solutions of the Schrödinger evolution equation, Semigroup Forum, 53, 82-88. (SCI)
Min-Jei Huang (1996), Commutators and invariant domains for Schrödinger propagators, Pacific J. Math., 175, 83-91. (SCI)
Min-Jei Huang (1996), On the ergodic limits for unitary periodic propagators, Semigroup Forum, 52, 325-333. (SCI)
Min-Jei Huang (1995), On the unitarity of the wave operators for AC-Stark Hamiltonians, Proc. Roy. Soc. Edinburgh, 125A, 617-624. (SCI)
Min-Jei Huang and Tzong-Mo Tsai (1994), On the Fourier transform for operators on homogeneous Banach spaces, Hokkaido Math. J., 23, 439-449.
Min-Jei Huang (1994), On the spectrum of the Hill difference operator, Bull. Inst. Math. Acad. Sinica, 22, 231-239.
Min-Jei Huang (1994), On the absolutely continuous subspaces of Floquet operators, Proc. Roy. Soc. Edinburgh, 124A, 703-712. (SCI)
Min-Jei Huang (1994), Absence of bound states in a class of time-dependent Hamiltonians, J. Math. Anal. Appl., 183, 471-476. (SCI)
Min-Jei Huang (1993), Harmonic analysis for operators in homogeneous classes, Bull. Inst. Math. Acad. Sinica, 21, 115-130.
Min-Jei Huang (1993), Spectral properties of second order elliptic differential operators, Taiwanese J. Math., 21, 245-258. (SCI)
Min-Jei Huang and T-F Lin (1990), Poincaré-Chernoff type inequalities for reversible probability measures of diffusion processes, Soochow J. Math., 16, 109-122.
Min-Jei Huang and Richard Lavine (1989), Boundedness of kinetic energy for time-dependent Hamiltonians, Indiana Univ. Math. J., 38, 189-210. (SCI)
Min-Jei Huang (1989), On stability for time-periodic perturbations of harmonic oscillators, Ann. Inst. Henri Poincaré, Physique théorique, 50, 229-238. (SCI)
Min-Jei Huang (1989), A trace theorem for time-periodic Hamiltonian operators, J. Math. Anal. Appl., 143, 224-234. (SCI)
Min-Jei Huang (1988), Dynamics for time-dependent quantum mechanical Hamiltonians. Thesis (Ph.D.)—University of Rochester, 1988. 87 pp.

畢業年度	姓名	碩/博士班	備註
2011	陳鐸元	博士班
2010	張芸菁、王維廉	碩士班
2009	吳宛諭、鍾宇豪	碩士班
2008	黃仁杰	碩士班
2007	黃昭雅	博士班
2005	陳鐸元	碩士班
2002	周秋芬、譚國強	碩士班
1996	何淑琴	碩士班
1995	王柏齡、林國弘	碩士班
1994	黃昭雅	碩士班
1991	胡宗杰、陳淑珍、蔡宗謀	碩士班

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