黃明傑 - 台湾清华大学

个人简介

學歷美國羅徹斯特大學數學博士經歷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 指導學生博士班：陳鐸元(2011), 黃昭雅(2007) 碩士班：王維廉(2010), 張芸菁(2010), 鍾宇豪(2009), 吳宛諭(2009), 黃仁杰(2008), 陳鐸元(2005), 譚國強(2002), 周秋芬(2002), 何淑琴(1996), 林國弘(1995), 王柏齡(1995), 黃昭雅(1994), 蔡宗謀(1991), 陳淑珍(1991), 胡宗杰(1991)

研究领域

微分算子、泛函分析

近期论文

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Min-Jei Huang, Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings, Acta Math. Hungar., (2018) (SCI) 2. Min-Jei Huang, Upper bounds on the eigenvalue ratio for one-dimensional Schrödinger operators, J. Math. Anal. Appl., 452(2017), 1031-1039. (SCI) 3. Min-Jei Huang, The eigenvalue ratio for a class of densities, J. Math. Anal. Appl., 435(2016), 944-954. (SCI) 4. Min-Jei Huang, Upper bounds on the eigenvalue ratio for vibrating strings, J. Math. Anal. Appl., 430(2015), 403-409. (SCI) 5. Duo-Yuan Chen and Min-Jei Huang, Lower bounds on the eigenvalue gap for vibrating strings, J. Math. Anal. Appl., 417(2014), 225-233. (SCI) 6. Duo-Yuan Chen and Min-Jei Huang, Comparison theorems for the eigenvalue gap of Schrodinger operators on the real line, Annales Henri Poincare, 13(2012), 85-101. (SCI) 7. Duo-Yuan Chen and Min-Jei Huang, On the semiclassical approximation to the eigenvalue gap of Schrodinger operators, J. Math. Anal. Appl., 389(2012), 1251-1258. (SCI) 8. Duo-Yuan Chen and Min-Jei Huang, Dirichlet operators with convex potentials on the half-line, Acta Math. Hungar., 130(2011), 195-201. (SCI) 9. Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai, Hilbert projective metric and nonlinear elliptic problems, Nonlinear Analysis, 71(2009), 2576-2584. (SCI) 10. Min-Jei Huang and Tzong-Mo Tsai, The eigenvalue gap for one-dimensional Schrodinger operators with symmetric potentials, Proc. Roy. Soc. Edinburgh, 139A(2009), 359-366. (SCI) 11. Min-Jei Huang, A note on the eigenvalue ratio of vibrating strings, Acta Math. Hungar., 123(2009), 265-271. (SCI) 12. Min-Jei Huang and Duo-Yuan Chen, Existence and uniqueness of positive periodic solutions for a class of differential delay equations, J. Math. Kyoto Univ., 47(2007), 849-857. (SCI) 13. Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai, Eigenvalue problems and fixed point theorems for a class of positive nonlinear operators, Math. Zeit., 257(2007), 581-595. (SCI) 14. Min-Jei Huang, The eigenvalue gap for vibrating strings with symmetric densities, Acta Math. Hungar., 117(2007), 341-348. (SCI) 15. Min-Jei Huang, Chao-Ya Huang and Tzong-Mo Tsai, Applications of Hilbert projective metric to a class of positive nonlinear operators, Linear Algebra Appl., 413(2006), 202-211. (SCI) 16. Min-Jei Huang, On the Polya-Schiffer convexity theorem and its applications for eigenvalues of vibrating strings, Taiwanese J. Math., 8(2004), 489-497. (SCI) 17. Min-Jei Huang, Comparison theorems for eigenvalues of one-dimensional Schrodinger operators, J. Math. Kyoto Univ., 43(2003), 465-474. (SCI) 18. Min-Jei Huang, On the eigenvalue ratio for vibrating strings, Proc. Amer. Math. Soc., 127(1999), 1805-1813. (SCI) 19. Min-Jei Huang, The first instability interval for Hill equations with symmetric single well potentials, Proc. Amer. Math. Soc., 125(1997), 775-778. (SCI) 20. Min-Jei Huang, On the ergodic limits for unitary periodic propagators, Semigroup Forum, 52(1996), 325-333. (SCI) 21. Min-Jei Huang, Commutators and invariant domains for Schrodinger propagators, Pacific J. Math., 175(1996), 83-91. (SCI) 22. Min-Jei Huang, Remarks on invariant subspaces and L^{p}-solutions of the Schrodinger evolution equation, Semigroup Forum, 53(1996), 82-88. (SCI) 23. Min-Jei Huang, On the unitarity of the wave operators for AC-Stark Hamiltonians, Proc. Roy. Soc. Edinburgh, 125A(1995), 617-624. (SCI) 24. Min-Jei Huang, Absence of bound states in a class of time-dependent Hamiltonians, J. Math. Anal. Appl., 183(1994), 471-476. (SCI) 25. Min-Jei Huang, On the absolutely continuous subspaces of Floquet operators, Proc. Roy. Soc. Edinburgh, 124A(1994), 703-712. (SCI) 26. Min-Jei Huang, On the spectrum of the Hill difference operator, Bull. Inst. Math. Acad. Sinica, 22(1994), 231-239. 27. Min-Jei Huang and Tzong-Mo Tsai, On the Fourier transform for operators on homogeneous Banach spaces, Hokkaido Math. J., 23(1994), 439-449. 28. Min-Jei Huang, Spectral properties of second order elliptic differential operators, Taiwanese J. Math., 21(1993), 245-258. (SCI) 29. Min-Jei Huang, Harmonic analysis for operators in homogeneous classes, Bull. Inst. Math. Acad. Sinica, 21(1993), 115-130. 30. Min-Jei Huang and T-F Lin, Poincare-Chernoff type inequalities for reversible probability measures of diffusion processes, Soochow J. Math., 16(1990), 109-122. 31. Min-Jei Hnang and Richard Lavine, Boundedness of kinetic energy for time-dependent Hamiltonians, Indiana Univ. Math. J., 38(1989), 189-210. (SCI) 32. Min-Jei Huang, On stability for time-periodic perturbations of harmonic oscillators, Ann. Inst. Henri Poincare, Physique theorique, 50(1989), 229-238. (SCI) 33. Min-Jei Huang, A trace theorem for time-periodic Hamiltonian operators, J. Math. Anal. Appl., 143(1989), 224-234. (SCI)