3 papers
math.AP2026
The sharp lifespan of small data smooth solutions to 2-D quadratic quasilinear wave equations in exterior domains
Bingbing Ding, Fei Hou, Huicheng Yin
In the paper [M. Keel, H. Smith, C.D. Sogge, Almost global existence for quasilinear wave equations in three space dimensions. J. Amer. Math. Soc. 17 (2004), no. 1, 109-153], the a…
math.AP2025
Global smooth solutions to 2D semilinear wave equations with large data
Bingbing Ding, Shijie Dong, Gang Xu
We are interested in coupled semi-linear wave equations satisfying the null condition in two space dimensions, a basic model in nonlinear wave equations. Our aim is to establish gl…
math.AP2025
Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
Bingbing Ding, Zhouping Xin, Huicheng Yin
In this paper, we establish the global existence of smooth solutions to general 4D quasilinear wave equations satisfying the first null condition with the short pulse initial data.…