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徐淑裕 教授

Shu-Yu Hsu

office: Room 412

Phone: (05)2720411#66133

Fax: (05)2720497

Email: mthhsu@ccu.edu.tw / shuyu.sy@gmail.com

研究領域

  • 偏微分方程　
  • 幾何分析

學歷

  • 香港中文大學數學博士 (1997/01 ～ 1999/12)
  • 美國威斯康辛大學麥迪遜分校數學碩士 (1992/09 ～ 1995/05)

經歷

  • 國立中正大學 數學系 教授 (2011/08 ～ 迄今)
  • 國立中正大學 數學系 副教授 (2008/08 ～2011/07)
  • 中正大學 數學系 助理教授 (2004/08 ～ 2008/07)
  • 國家理論科學研究中心(新竹) 數學組 訪問助理教授 (2004/05 ～ 2004/07)
  • University of Minnesota-Twin Cities Department of Mathematics Assistant Professor (2002/08 ～ 2003/07)
  • 國立中山大學 應用數學系 助理教授 (2001/08 ～ 2002/07)
  • 美國哈佛大學 數學系 博士後 (2001/02 ～ 2001/05)

校外服務

美國數學會Mathematical Review 的regular reviewer (6年多)，共替美國數學會Mathematical Review評論過31篇學術論文，這31篇學術論文很多都是發表在數學界最重要和最好的期刊中，包括Advances in Mathematics、Annuals of Mathematics、Calculus of Variations and Partial Differential Equations、Journal of The American Mathematical Society、Journal of Differential Geometry和Mathematische Zeitschrift等。 Mathematische Annalen、 Journal of Mathematical Analysis and Applications 和 IEEE Transactions on Vehicular Technology等數學期刊的referee。

學術著作

期刊論文

  1. Hsu, Shu-Yu (2024,Feb).Another proof of the existence of homothetic solitons of the inverse mean curvature flow. ADVANCES IN CALCULUS OF VARIATIONS, DOI:10.1515/acv-2022-0092.

  2. Shu-Yu Hsu, 2020.Super fast vanishing solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, Vol. 40 (9), pp. 5383-5414. (SCIE)
  3. Shu-Yu Hsu (2019, Jan). Global behaviour of solutions of the fast diffusion equation. Manuscripta Math., (2018), https://doi.org/10.1007/s00229-018-1008-1. 158(1-2)pp. 103-117(SCI).本人為第一作者、通訊作者.
  4. Shu-Yu Hsu ( FEB 2019). Another proof of the local curvature estimate for the Ricci flow. Geometric Dedicata, https://doi.org/10.1007/s10711-018-0335-4. 198(1 ) pp.171-180 (SCI)本人為第一作者、通訊作者.
  5. Shu-Yu Hsu (2018, Dec). Minimizer of an isoperimetric ratio on a metric on $R^2$ with finite total area. Bulletin of Mathematical Sciences, (2018) 8:603–617, https://doi.org/10.1007/s13373-018-0131-3. (SCIE). 本人為第一作者、通訊作者.
  6. Shu-Yu Hsu (2018, Jan). Existence and properties of ancient solutions of the Yamabe flow. Discrete Contin. Dyn. Syst. Series A, 38 (2018), no. 1, 91–129.. (SCI). 本人為第一作者、通訊作者.
  7. Shu-Yu Hsu (2014, Dec). Exact decay rate of a nonlinear elliptic equation related to the Yamabe flow. Amer. Math. Soc., 142 (2014), no. 12, 4239–4249. (SCI, Mathematics). 本人為第一作者、通訊作者.
  8. Shu-Yu Hsu (2014, Sep). Some results for the Perelman LYH-type inequality. Discrete Contin. Dyn. Syst., 34(9), 3535–3554. (SCI, Mathematics). 本人為第一作者、通訊作者.
  9. Shu-Yu Hsu (2013, Mar). Existence and asymptotic behaviour of solutions of the very fast diffusion equation. Manuscripta Math., vol. 140 (2013), no. 3-4, 441-460. (SCI). 本人為第一作者、通訊作者.
  10. Shu-Yu Hsu (2013, Feb). Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces. Dedicata, Vol. 162 (2013), no. 1, 375-388. (SCI). 本人為第一作者、通訊作者.
  11. Shu-Yu Hsu (2013, Jan). Existence of solution of the logarithmic diffusion equation with bounded above Gauss curvature. Nonlinear Analysis TMA, vol. 77 (2013), 103–111. (SCI). 本人為第一作者、通訊作者.
  12. Shu-Yu Hsu (2012, Dec). Some properties of the Yamabe soliton and the related nonlinear elliptic equation. Calculus of Variation and Partial Differential Equations , published online on Dec. 12, 2012, 15 pages. (SCI). 本人為第一作者、通訊作者.
  13. Shu-Yu Hsu (2012, May). Singular limit and exact decay rate of a nonlinear elliptic equation. Nonlinear Analysis TMA, vol. 75 (2012), no. 7, 3443-3455. (SCI). 本人為第一作者、通訊作者.
  14. Shu-Yu Hsu (2012, Apr). A note on compact Yamabe solitons. Math. Anal. Appl., Vol. 388, Issue 2 (2012), 725–726. (SCI). 本人為第一作者、通訊作者.
  15. Shu-Yu Hsu (2011, Jul). Gradient estimates for a nonlinear parabolic equation under Ricci flow. Differential and Integral Equations, vol. 24 (2011), no. 7-8, .645–652. (其它). 本人為第一作者、通訊作者.
  16. Shu-Yu Hsu (2011, Feb). A lower bound for the scalar curvature of the standard solution of the Ricci flow. International Mathematical Forum, vol. 6 (2011), no. 17, 829–835. (其它). 本人為第一作者、通訊作者.
  17. Shu-Yu Hsu (2010, Feb). Removable singularities of semilinear parabolic equations. Advances in Differential Equatiions, 15 (2010), no. 1-2, 137–158. (其它). 本人為第一作者、通訊作者.
  18. Shu-Yu Hsu (2010, Feb). Removable singularity of the polyharmonic equation. Nonlinear Analysis, TMA, 72 (2010), no. 2, 624–627. (SCI). 本人為第一作者、通訊作者.
  19. Shu-Yu Hsu (2009, Oct). Maximum principle and convergence of fundamental solutions for the Ricci flow. Tokyo J. Math., vol. 32 (2009), no. 2, 501–516. (其它). 本人為第一作者、通訊作者.
  20. Shu-Yu Hsu (2009, Mar). Generalized L-geodesic and monotonicity of the generalized reduced volume in Ricci flow. Math. Kyoto Univ., 49 (2009), no. 3, 503–571. (SCI). 本人為第一作者、通訊作者.
  21. Shu-Yu Hsu (2008, Dec). Sobolev inequlaties for manifolds evolving by Ricci flow. Advances in Mathematical Sciences and Applications, vol. 18 (2008), no. 2, 453-462. (SCI). 本人為第一作者、通訊作者.
  22. 徐淑裕 (2006, Sep). A simple proof on the non-existence of shrinking breathers for the Ricci flow. Calculus of Variations and Partial Differential Equations, vol. 27 (2006), no. 1, 59–73. (SCI). 本人為第一作者、通訊作者.
  23. Shu-Yu Hsu (2006, Jan). Existence of singular solutions of a degenerate equation in R^2. Annalen, vol. 334 (2006), no. 1, 153–197. (SCI). 本人為第一作者、通訊作者.
  24. Shu-Yu Hsu (2005, Oct). Classification of radially symmetric self-similar solutions of u_t=\Delta\log u in higher dimensions. Differential and Integral Equations, vol. 18 (2005), no. 10, 1175–1192. (AMS MathScinet). 本人為第一作者、通訊作者.
  25. Shu-Yu Hsu (2005, Oct). Extinction profile of solutions of a singular diffusion equation. in Applied Analysis, vol. 9 (2005), no. 1, 67–93. (其它). 本人為第一作者、通訊作者.
  26. Shu-Yu Hsu (2005, Jul). Large time behaviour of solutions of a singular diffusion equation in Rn. Nonlinear Analysis, TMA, vol. 62 (2005), no. 2, 195–206. (SCI). 本人為第一作者、通訊作者.
  27. Shu-Yu Hsu (2004, Oct). Behaviour of solutions of a singular diffusion equation near the extinction time. Nonlinear Analysis, TMA, vol. 56 (2004), no. 1, 63–104. (SCI). 本人為第一作者、通訊作者.
  28. Shu-Yu Hsu (2004, Mar). Non-existence and behaviour at infinity of solutions of some elliptic equations. Discrete and Continuous Dynamical Systems, vol. 10 (2004), no. 3, 769–786. (SCI). 本人為第一作者、通訊作者.
  29. Shu-Yu Hsu (2003, Oct). Uniqueness of solutions of a singular diffusion equation. Differential and Integral Equations, vol. 16 (2003), no. 3, 181–200. (SCI). 本人為第一作者、通訊作者.
  30. Shu-Yu Hsu (2003, Apr). Removable singularities and non-uniqueness of solutions of a singular diffusion equation. Mathematische Annalen, vol. 325 (2003), no. 4, 665–693. (SCI). 本人為第一作者、通訊作者.
  31. Shu-Yu Hsu (2003, Feb). Asymptotic behaviour of solutions of the equation u_t = \Delta log u near the extinction time. Advances in Differential Equations, vol. 8 (2003), no. 2, 161–187. (SCI). 本人為第一作者、通訊作者.
  32. Shu-Yu Hsu (2002, Oct). Asymptotic profile of solutions of a singular diffusion equation as t→∞. Nonlinear Analysis TMA, vol. 48 (2002), no. 6, 781–790. (SCI). 本人為第一作者、通訊作者.
  33. Shu-Yu Hsu (2002, Jun). Dynamics near extinction time of a simgular diffusion equation. Mathematische Annalen, vol. 323 (2002), no. 2, 281–318. (SCI). 本人為第一作者、通訊作者.
  34. Shu-Yu Hsu (2002, Jan). Dynamics of solutions of a singular diffusion equation. Advances in Differential Equations, vol. 7 (2001), no. 1, 77–97. (其它). 本人為第一作者、通訊作者.
  35. Shu-Yu Hsu (2001, Mar). Global existence and uniqueness of solutions of the Ricci flow equation. Differential and Integral Equations, vol 14 (2001), no. 3, 305–320. (others). 本人為第一作者、通訊作者.
  36. Shu-Yu Hsu (2001, Jan). Large time behaviour of solutions of the Ricci flow equation in R^2. Pacific Journal of Mathematics, vol 197 (2001), no. 1, 25–41. (SCI). 本人為第一作者、通訊作者

專題研究計畫

1. 瑞奇流之研究. 98-2115-M-194-002-MY2. Project Period: 2009/08/01-2011/07/31.

2. 瑞奇流及相關幾何問題之研究.  100-2115-M-194-006-. Project Period: 2011/08/01-2012/07/31.

3. 瑞奇流及山邊流問題之研究. 101-2115-M-194-008-. Project Period: 2012/08/01-2013/07/31.

4. 瑞奇流及山邊流的解的特性之研究. 102-2115-M-194-004-.Project Period: 2013/08/01-2014/07/31.

5. 瑞奇流及山邊流的解之研究.103-2115-M-194-005-. Project Period: 2014/08/01-2015/07/31.

6. 瑞奇流及山邊流之研究. 104-2115-M-194-007-. Project Period: 2015/08/01-2016/07/31.

7. 瑞奇流及山邊流的解之研究 II. 105-2115-M-194-006-. Project Period: 2016/08/01-2017/07/31.

8. 瑞奇流及山邊流的解之研究 III. 106-2115-M-194-002-. Project Period: 2017/08/01-2018/09/30.

9. 瑞奇流及山邊流解的特性之研究. 107-2115-M-194-005-. Project Period: 2018/08/01-2019/10/31.

10. 瑞奇流及山邊流解的存在性和特性之研究. 108-2115-M-194-002 –. Project Period: 2019/08/01-2020/10/31. 

11. 瑞奇流及山邊流的研究. 109-2115-M-194-002 –. Project Period: 2020/08/01-2021/10/31.

12. 邊流超快爆炸解的存在性和其它幾何流的特性. 110-2115-M-194-004-. Project Period: 2021/08/01-2022/10/31.

13. 逆平均曲率流和瑞其流立子的研究. 111-2115-M-194-001-. Project Period: 2022/08/01-2023/07/31.

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