Research

I work on the qualitative properties of solutions for nonlinear dispersive and wave equations.

Selected papers (Full Publication list )

• Quantitative observability for one-dimensional Schrödinger equations with potentials.

With Pei Su and Chenmin Sun. J. Funct. Anal. 288 (2025), no. 2, Paper No. 110695, 39 pp.

• Global behavior of small data solutions for the 2D Dirac-Klein-Gordon system.

With Shijie Dong, Kuijie Li and Yue Ma. Trans. Amer. Math. Soc. 377 (2024), no. 1, 649-695.

• Construction of excited multi-solitons for the focusing 4D cubic wave equation.

        J. Funct. Anal. 282 (2022), no. 4, Paper No. 109336. 60 pp.

• Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity.

 Ann. Inst. H. Poincaré C Anal. Non Linéaire 38 (2021), no. 5, 1487–1524.

• Description and classification of 2-solitary waves for nonlinear damped Klein-Gordon equations.

       With Raphaël Côte, Yvan Martel and Lifeng Zhao. Comm. Math. Phys. 388 (2021), no. 3, 1557–1601.

• Long-time asymptotics of the one-dimensional damped nonlinear Klein-Gordon equation.

        With Raphaël Côte and Yvan Martel.  Arch. Ration. Mech. Anal. 239 (2021), no. 3, 1837-1874.

Ph.D.  thesis

Dynamique en temps long pour des équations non linéaires de type onde avec ou sans amortissement.

Defended on June 21, 2021 at CMLS.