Specialized Areas

Degree Institution

Rank

Publication

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 (2020). Super fast vanishing solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 40(9), pp. 5383–5414.

5. Hsu, Shu-Yu (2019). Global behaviour of solutions of the fast diffusion equation. Manuscripta Mathematica, 158(1-2), pp. 103–117.

6. Hsu, Shu-Yu (2019). Another proof of the local curvature estimate for the Ricci flow. Geometriae Dedicata, 198(1), pp. 171–180.

7. 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.

8. 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.

9. 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.

10. Hsu, Shu-Yu (2014). Some results for the Perelman LYH-type inequality. Discrete and Continuous Dynamical Systems, 34(9), pp. 3535–3554.

11. Hsu, Shu-Yu (2013). Existence and asymptotic behaviour of solutions of the very fast diffusion equation. Manuscripta Mathematica, 140(3-4), pp. 441–460.

12. Hsu, Shu-Yu (2013). Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces. Geometriae Dedicata, 162(1), pp. 375–388.

13. 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.

14. 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.

15. 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.

16. Hsu, Shu-Yu (2012). A note on compact Yamabe solitons. Journal of Mathematical Analysis and Applications, 388(2), pp. 725–726.

17. Hsu, Shu-Yu (2011). Gradient estimates for a nonlinear parabolic equation under Ricci flow. Differential and Integral Equations, 24(7-8), pp. 645–652.

18. 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.

19. Hsu, Shu-Yu (2010). Removable singularities of semilinear parabolic equations. Advances in Differential Equations, 15(1-2), pp. 137–158.

20. Hsu, Shu-Yu (2010). Removable singularity of the polyharmonic equation. Nonlinear Analysis: Theory, Methods & Applications, 72(2), pp. 624–627.

21. Hsu, Shu-Yu (2009). Maximum principle and convergence of fundamental solutions for the Ricci flow. Tokyo Journal of Mathematics, 32(2), pp. 501–516.

22. 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.

23. Hsu, Shu-Yu (2008). Sobolev inequalities for manifolds evolving by Ricci flow. Advances in Mathematical Sciences and Applications, 18(2), pp. 453–462.

24. 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.

25. Hsu, Shu-Yu (2006). Existence of singular solutions of a degenerate equation in R^2. Mathematische Annalen, 334(1), pp. 153–197.

26. 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.

27. Hsu, Shu-Yu (2005). Extinction profile of solutions of a singular diffusion equation. Communications in Applied Analysis, 9(1), pp. 67–93.

28. 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.

29. 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.

30. 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.

31. Hsu, Shu-Yu (2003). Uniqueness of solutions of a singular diffusion equation. Differential and Integral Equations, 16(3), pp. 181–200.

32. Hsu, Shu-Yu (2003). Removable singularities and non-uniqueness of solutions of a singular diffusion equation. Mathematische Annalen, 325(4), pp. 665–693.

33. 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.

34. 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.

35. Hsu, Shu-Yu (2002). Dynamics near extinction time of a singular diffusion equation. Mathematische Annalen, 323(2), pp. 281–318.

36. Hsu, Shu-Yu (2002). Dynamics of solutions of a singular diffusion equation. Advances in Differential Equations, 7(1), pp. 77–97.

37. Hsu, Shu-Yu (2001). Global existence and uniqueness of solutions of the Ricci flow equation. Differential and Integral Equations, 14(3), pp. 305–320.

38. 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.