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J-GLOBAL ID：201801019034819522   Update date: Jan. 30, 2024

Sugiyama Yuusuke

Sugiyama Yuusuke
Affiliation and department：
The University of Shiga Prefecture School of EngineeringDepartment of Electronic Systems Engineering

About The University of Shiga Prefecture School of EngineeringDepartment of Electronic Systems Engineering


Homepage URL  (1)： https://sites.google.com/view/yuusukesugiyama
Research field  (1)： Mathematical analysis
Research keywords  (4)： Hyperbolic conservation law ,  Blow-up ,  Quasilinear wave equations ,  Partial differential equations
Research theme for competitive and other funds  (2)：
  • 2019 - 2023 退化型準線形波動方程式の正則性理論の構築とその応用
  • 2016 - 2019 Classification of the behavior of solutions to degenerate quasi-linear wave equations
Papers (20)：
  • Yuusuke Sugiyama. Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case. Communications in Mathematical Sciences. 2023. 21. 1. 219-237
  • Yuusuke Sugiyama. Formation of singularities for a family of 1D quasilinear wave equations. Indiana University Mathematics Journal. 2022. 71. 6. 2529-2549
  • Masakazu Yamamoto, Yuusuke Sugiyama. Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation. 2021. 21. 1383-1471
  • Masakazu Yamamoto, Yuusuke Sugiyama. Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation. Proceedings of the American Mathematical Society. 2021. 149. 1099-1110
  • Masakazu Yamamoto, Yuusuke Sugiyama. Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation. Nonlinearity. 2019. 32. 7. 2467-2480
ｍore...
MISC (1)：
  • Asymptotic behavior of solutions to the drift-diffusion equation of elliptic type (Reconsideration of the method of estimates on partial differential equations from a point of view of the theory on abstract evolution equations). 2016. 1984. 143-151
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