Reseach

Publication

1. Yuusuke Sugiyama, Nonexistence of global solution to some second order quasilinear hyperbolic equation, SUT Journal of Mathematics 47, no. 2, 217--227, 2011

2. Keiichi Kato; Yuusuke Sugiyama, Local existence and uniqueness theory for the second sound equation in one space dimension, Journal of Hyperbolic Differential Equations 9, no. 1, 177--193, 2012.

3. Keiichi Kato; Yuusuke Sugiyama, Blow up of solutions to the second sound equation in one space dimension, Kyushu Journal of Mathematics 67, no. 1, 129--142, 2013.

4. Yuusuke Sugiyama, Global existence of solutions to some quasilinear wave equation in one space dimension, Differential and Integral Equations 26, no. 5-6, 487--504, 2013.

5. Masakazu Yamamoto; Keiichi Kato; Yuusuke Sugiyama, Existence and analyticity of solutions to the drift-diffusion equation with critical dissipation, Hiroshima Mathematical Journal 44, no. 3, 275--313, 2014.

6. Yuusuke Sugiyama; Masakazu Yamamoto; Keiichi Kato, Local and global solvability and blow up for the drift-diffusion equation with the fractional dissipation in the critical space, Journal of Differential Equations 258, no. 9, 2983--3010, 2015.

7. Yuusuke Sugiyama, Degeneracy in finite time of 1D quasilinear wave equations, SIAM Journal on Mathematical Analysis 48, no. 2, 847--860, 2016.

8. Masakazu Yamamoto; Yuusuke Sugiyama, Asymptotic behavior of solutions to the drift-diffusion equation with critical dissipation, Annales Henri Poincaré 17, no. 6, 1331--1352, 2016.

9. Masakazu Yamamoto; Yuusuke Sugiyama, Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation, Nonlinear Analysis 141, 57--87, 2016.

10. Yuusuke Sugiyama, Degeneracy in finite time of 1D quasilinear wave equations. II., Evolution Equations and Control Theory 6, no. 4, 615--628, 2017.

11. Yuusuke Sugiyama, Large time behavior of solutions to 1D quasilinear wave equations, RIMS Kôkyûroku Bessatsu B63, 115--125, 2017.

12. Yuusuke Sugiyama, Singularity formation for the 1D compressible Euler equations with variable damping coefficient, Nonlinear Analysis 170, 70--87, 2018.

13. Yun-Guang Lu; Yuusuke Sugiyama, Existence and nonexistence theorems of global weak solutions to degenerate quasilinear wave equations for the elasticity, Applied Mathematics Letters 84, 118--123, 2018.

14. Masakazu Yamamoto; Yuusuke Sugiyama, Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation, Nonlinearity 32, no. 7, 2467--2480, 2019.

15. Masakazu Yamamoto; Yuusuke Sugiyama, Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation, Proceedings of the American Mathematical Society 149, no. 3, 1099--1110, 2021.

16. Yuusuke Sugiyama, Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping, in Advanced Studies in Pure Mathematics 85, 379--389, 2021.

17. Yuusuke Sugiyama; Masakazu Yamamoto, Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation, Journal of Evolution Equations 21, no. 2, 1383--1417, 2021.

18. Yuusuke Sugiyama, Formation of singularities for a family of 1D quasilinear wave equations, Indiana University Mathematics Journal 71, no. 6, 2529--2549, 2022.

19. Yuusuke Sugiyama, Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case, Communications in Mathematical Sciences 21, no. 1, 219--237, 2023.

20. Yanbo Hu; Yuusuke Sugiyama, The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy, Advances in Nonlinear Studies 24, no. 4, 857--879, 2024.

21. Yuusuke Sugiyama, Global existence and blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation, Nonlinear Analysis 250, Article ID 113658, 2025.

22. Yanbo Hu; Yuusuke Sugiyama, Well-posedness of the initial-boundary value problem for 1D degenerate quasilinear wave equations, Advances in Differential Equations 30, no. 3-4, 177--206, 2025.

23. Yanbo Hu; Yuusuke Sugiyama, Well-posedness of degenerate initial-boundary value problems to a hyperbolic-parabolic coupled system arising from nematic liquid crystals, Archive for Rational Mechanics and Analysis 249, no. 2, Paper No. 19, 2025. 

Preprint

Yanbo Hu, Yuusuke Sugiyama, Loss of regularity for solutions to 1D degenerate quasilinear wave equations

Kanai, Takumi; Muramatsu, Ryo; Sugiyama, Yuusuke, Wave front set of solutions to the fractional Schrödinger equation, preprint, 2026. arXiv:2602.17406

Yuusuke Sugiyama, Global well-posedness for a one-dimensional quasilinear wave equation, arXiv:2605.01814.

Yuusuke Sugiyama, Tato Yamanoi,  Lifespan of Classical Solutions to One-Dimensional Quasilinear Wave Equations, arXiv:2605.04976.

Yuusuke Sugiyama, Formation of singularities for a family of one-dimensional quasilinear wave equations beyond the variational case, arXiv:2606.23605

arXiv:2602.17406