Asymptotic behavior of global solutions to one-dimension quasilinear wave equations

活动时间:2022-11-24 15:00

活动地点:腾讯会议 260-182-499




Journal of Differential Equations, Nonlinear Analysis, Science China-Mathematics 等国际期刊上发表多篇代表性研究成果。现主持1项国家自然科学基金青年项目与1项江苏省自然科学基金青年项目。


The asymptotic behavior of solutions is a significant subject in the theory of wave equations. In this talk, we are concerned with the asymptotic behavior of the unique global solution to the Cauchy problem for one-dimension quasilinear wave equations with null conditions. By applying the small-data-global-existence result and exploiting the strength of weights, we not only provide sharper convergence from the quasilinear case to the linear case but also study the rigidity aspect of the scattering problem for quasilinear waves.