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董世杰
助理教授
研究方向: 非线性偏微分方程(尤其波动方程,Klein-Gordon方程), 数学物理

研究领域:

非线性偏微分方程(尤其波动方程,Klein-Gordon方程), 数学物理

 

教育背景:

2017年1月--2019年12月 索邦大学(Sorbonne Université,巴黎),数学博士。

2014年9月– 2017年2月 延世大学(Yonsei University,首尔),计算数学硕士。

2010年9月– 2014年6月 中国海洋大学(青岛) 数学本科。

2011年9月– 2012年6月 山东大学(济南) 交换生,  数学 。

 

工作经历:

2022年3月--今 南方科技大学助理教授

2020年1月--2022年2月 复旦大学博士后 

 

代表性著作:

10. Generically sharp decay for quasilinear wave equations with null condition, with Siyuan Ma, Ma, and Xu Yuan, preprint arXiv:2212.12115 (2022).
 
9. Global solution to the 3D Dirac–Klein-Gordon system with uniform energy bounds, with Kuijie Li and Xu Yuan, preprint arXiv:2208.14131 (2022), Calc. Var. Partial Differential Equations 62 (2023), no. 5, Paper No. 146, 42 pp. 
 
8. Global Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations, with Kuijie Li, Yue Ma, and Xu Yuan, preprint arXiv:2205.12000 (2022), to appear in Transactions of the American Mathematical Society.
 
7. Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions, with Yue Ma, preprint arXiv:2111.00244 (2021), to appear in Peking Math. J..
 
6. Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, with Zoe Wyatt, preprint arXiv:2105.13780 (2021), to appear in Annales de l’Institut Henri Poincaré C. Analyse Non Linéaire. 
 
5. The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded, with Philippe LeFloch, and Zhen Lei, preprint arXiv:2103.07867 (2021), to appear in Fundamental Research. 
 
4. Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds, preprint arXiv:2101.02927 (2021), SIAM J. Math. Anal. 54 (2022), no. 1, 595–615. 
 
3. Asymptotic Behavior of the Solution to the Klein-Gordon-Zakharov Model in Dimension Two, preprint arXiv:2006.04443, (2020), Communications in Mathematical Physics 384 (2021), no. 1, 587–607. 
 
2. Global solution to the wave and Klein-Gordon system under null condition in dimension two, preprint arXiv:2005.04767, (2020), Journal of Functional Analysis 281 (2021), no. 11, Paper No. 109232, 29 pp.
 
1. The zero mass problem for Klein-Gordon equations: quadratic null interactions, preprint arXiv:2004.10467, (2020), Forum Math. Sigma 10 (2022), Paper No. e27, 23 pp.