报告人：姬杰 (南京航空航天大学)

报告题目：Existence, uniqueness and smoothing effect for spatially homogeneous Landau-Coulomb equation   in $H^{-\f12}$ space with polynomial tail

报告摘要：We demonstrate that the spatially homogeneous Landau-Coulomb equation exhibits global well-posedness in the space $H^{-\f12,\sss}_3\cap L^1_{7}\cap L\log L$ with $\sss>1/2$. Additionally, we furnish several quantitative assessments regarding the smoothing estimates in weighted Sobolev spaces for various initial data configurations. Consequently,  we confirm the conjecture that the solution possesses a $C^\infty$ smoothing effect for any positive time, similar to the heat equation, despite the initial data having only a polynomial tail.

报告时间：2024年11月27日（星期三）16:30-18:00

报告地点：东32楼115会议室

邀请人：雷远杰

报告人简介：姬杰，讲师，南京航空航天大学，博士毕业于清华大学。主要从事动理学方程的适定性与稳定性的研究。在 SIAM Journal on Mathematical Analysis等国际期刊上发表论文数篇。