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 (2026). Non-existence of singular self-similar solutions of the fast diffusion equation. Journal of Fixed Point Theory and Applications, 28(1), article no. 26.
2. Hsu, Shu-Yu (2024). Radially symmetric solutions of a nonlinear singular elliptic equation. Journal of Fixed Point Theory and Applications, 26(3), article no. 68.
3. Hsu, Shu-Yu (2024). 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.
4. Hsu, Shu-Yu (2023). Asymptotic behaviour of blow-up solutions of the fast diffusion equation. Nonlinear Differential Equations and Applications, Vol. 30 (6), 71. (SCIE)
5. Hsu, Shu-Yu (2020). Super fast vanishing solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 40(9), pp. 5383–5414.
6. Hsu, Shu-Yu (2019). Global behaviour of solutions of the fast diffusion equation. Manuscripta Mathematica, 158(1-2), pp. 103–117.
7. Hsu, Shu-Yu (2019). Another proof of the local curvature estimate for the Ricci flow. Geometriae Dedicata, 198(1), pp. 171–180.
8. Hsu, Shu-Yu (2018). Minimizer of an isoperimetric ratio on a metric on R² with finite total area. Bulletin of Mathematical Sciences, 8, pp. 603–617.
9. Hsu, Shu-Yu (2018). Existence and properties of ancient solutions of the Yamabe flow. Discrete and Continuous Dynamical Systems - Series A, 38(1), pp. 91–129.
10. Hsu, Shu-Yu (2014). Exact decay rate of a nonlinear elliptic equation related to the Yamabe flow. Proceedings of the American Mathematical Society, 142(12), pp. 4239–4249.
11. Hsu, Shu-Yu (2014). Some results for the Perelman LYH-type inequality. Discrete and Continuous Dynamical Systems, 34(9), pp. 3535–3554.
12. Hsu, Shu-Yu (2013). Existence and asymptotic behaviour of solutions of the very fast diffusion equation. Manuscripta Mathematica, 140(3-4), pp. 441–460.
13. Hsu, Shu-Yu (2013). Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces. Geometriae Dedicata, 162(1), pp. 375–388.
14. Hsu, Shu-Yu (2013). Existence of solution of the logarithmic diffusion equation with bounded above Gauss curvature. Nonlinear Analysis: Theory, Methods & Applications, 77, pp. 103–111.
15. Hsu, Shu-Yu (2012). Some properties of the Yamabe soliton and the related nonlinear elliptic equation. Calculus of Variations and Partial Differential Equations, published online Dec 12, 2012, 15 pp.
16. Hsu, Shu-Yu (2012). Singular limit and exact decay rate of a nonlinear elliptic equation. Nonlinear Analysis: Theory, Methods & Applications, 75(7), pp. 3443–3455.
17. Hsu, Shu-Yu (2012). A note on compact Yamabe solitons. Journal of Mathematical Analysis and Applications, 388(2), pp. 725–726.
18. Hsu, Shu-Yu (2011). Gradient estimates for a nonlinear parabolic equation under Ricci flow. Differential and Integral Equations, 24(7-8), pp. 645–652.
19. Hsu, Shu-Yu (2011). A lower bound for the scalar curvature of the standard solution of the Ricci flow. International Mathematical Forum, 6(17), pp. 829–835.
20. Hsu, Shu-Yu (2010). Removable singularities of semilinear parabolic equations. Advances in Differential Equations, 15(1-2), pp. 137–158.
21. Hsu, Shu-Yu (2010). Removable singularity of the polyharmonic equation. Nonlinear Analysis: Theory, Methods & Applications, 72(2), pp. 624–627.
22. Hsu, Shu-Yu (2009). Maximum principle and convergence of fundamental solutions for the Ricci flow. Tokyo Journal of Mathematics, 32(2), pp. 501–516.
23. Hsu, Shu-Yu (2009). Generalized L-geodesic and monotonicity of the generalized reduced volume in Ricci flow. Journal of Mathematics of Kyoto University, 49(3), pp. 503–571.
24. Hsu, Shu-Yu (2008). Sobolev inequalities for manifolds evolving by Ricci flow. Advances in Mathematical Sciences and Applications, 18(2), pp. 453–462.
25. Hsu, Shu-Yu (2006). A simple proof on the non-existence of shrinking breathers for the Ricci flow. Calculus of Variations and Partial Differential Equations, 27(1), pp. 59–73.
26. Hsu, Shu-Yu (2006). Existence of singular solutions of a degenerate equation in R^2. Mathematische Annalen, 334(1), pp. 153–197.
27. Hsu, Shu-Yu (2005). Classification of radially symmetric self-similar solutions of u_t=\Delta\log u in higher dimensions. Differential and Integral Equations, 18(10), pp. 1175–1192.
28. Hsu, Shu-Yu (2005). Extinction profile of solutions of a singular diffusion equation. Communications in Applied Analysis, 9(1), pp. 67–93.
29. Hsu, Shu-Yu (2005). Large time behaviour of solutions of a singular diffusion equation in Rn. Nonlinear Analysis: Theory, Methods & Applications, 62(2), pp. 195–206.
30. Hsu, Shu-Yu (2004). Behaviour of solutions of a singular diffusion equation near the extinction time. Nonlinear Analysis: Theory, Methods & Applications, 56(1), pp. 63–104.
31. Hsu, Shu-Yu (2004). Non-existence and behaviour at infinity of solutions of some elliptic equations. Discrete and Continuous Dynamical Systems, 10(3), pp. 769–786.
32. Hsu, Shu-Yu (2003). Uniqueness of solutions of a singular diffusion equation. Differential and Integral Equations, 16(3), pp. 181–200.
33. Hsu, Shu-Yu (2003). Removable singularities and non-uniqueness of solutions of a singular diffusion equation. Mathematische Annalen, 325(4), pp. 665–693.
34. Hsu, Shu-Yu (2003). Asymptotic behaviour of solutions of the equation u_t = \Delta log u near the extinction time. Advances in Differential Equations, 8(2), pp. 161–187.
35. Hsu, Shu-Yu (2002). Asymptotic profile of solutions of a singular diffusion equation as t→∞. Nonlinear Analysis: Theory, Methods & Applications, 48(6), pp. 781–790.
36. Hsu, Shu-Yu (2002). Dynamics near extinction time of a singular diffusion equation. Mathematische Annalen, 323(2), pp. 281–318.
37. Hsu, Shu-Yu (2002). Dynamics of solutions of a singular diffusion equation. Advances in Differential Equations, 7(1), pp. 77–97.
38. Hsu, Shu-Yu (2001). Global existence and uniqueness of solutions of the Ricci flow equation. Differential and Integral Equations, 14(3), pp. 305–320.
39. Hsu, Shu-Yu (2001). Large time behaviour of solutions of the Ricci flow equation in R^2. Pacific Journal of Mathematics, 197(1), pp. 25–41.
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.
14. 山邊流爆炸解的存在性及其他幾何流的特性. 113-2115-M-194-005-. Project Period:2024/08/01 ～ 2025/10/31
15. 山邊流外部域邊界上爆炸的解的存在性及其他幾何流的特性. 114-2115-M-194-004-. Project Period:2025/08/01 ～ 2027/07/31
