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Shu-Yu Hsu

Shu-Yu Hsu

office: Room 412

Phone: (05)2720411#66133

Fax: (05)2720497

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

Specialized Areas

  • Partial Differential Equations
  • Geometric Analysis

 

Degree Institution

  • Ph.D. in Mathematics, The Chinese University of Hong Kong

Rank

  • Professor

Publication

Journal Articles

  1. Hsu, Shu-Yu, 2024. Radially symmetric solutions of a nonlinear singular elliptic equation. Journal of Fixed Point Theory and Applications, Vol.26 (3), DOI10.1007/s11784-024-01124-9

  2. 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.

  3. Shu-Yu Hsu, 2020.Super fast vanishing solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, Vol. 40 (9), pp. 5383-5414. (SCIE)
  4. 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)
  5. 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)
  6. 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). 
  7. 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).
  8. 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).
  9. Shu-Yu Hsu (2014, Sep). Some results for the Perelman LYH-type inequality. Discrete Contin. Dyn. Syst., 34(9), 3535–3554. (SCI, Mathematics). 
  10. 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). 
  11. 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). 
  12. 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). 
  13. 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). 
  14. 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). 
  15. Shu-Yu Hsu (2012, Apr). A note on compact Yamabe solitons. Math. Anal. Appl., Vol. 388, Issue 2 (2012), 725–726. (SCI). 
  16. 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.
  17. 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. 
  18. Shu-Yu Hsu (2010, Feb). Removable singularities of semilinear parabolic equations. Advances in Differential Equatiions, 15 (2010), no. 1-2, 137–158.
  19. Shu-Yu Hsu (2010, Feb). Removable singularity of the polyharmonic equation. Nonlinear Analysis, TMA, 72 (2010), no. 2, 624–627. (SCI). 
  20. 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.
  21. 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). 
  22. 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). 
  23. 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). 
  24. 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). 
  25. 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). 
  26. Shu-Yu Hsu (2005, Oct). Extinction profile of solutions of a singular diffusion equation. in Applied Analysis, vol. 9 (2005), no. 1, 67–93. 
  27. 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). 
  28. 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). 
  29. 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). 
  30. 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). 
  31. 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). 
  32. 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). 
  33. 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). 
  34. Shu-Yu Hsu (2002, Jun). Dynamics near extinction time of a simgular diffusion equation. Mathematische Annalen, vol. 323 (2002), no. 2, 281–318. (SCI). 
  35. Shu-Yu Hsu (2002, Jan). Dynamics of solutions of a singular diffusion equation. Advances in Differential Equations, vol. 7 (2001), no. 1, 77–97. 
  36. 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).
  37. 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).

 

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