長沙理工大學學術活動預告
報告承辦單位: 數學與統計學院
報告題目: Boundary stabilization for wave equations with Wentzell boundary conditions
報告內容: In this talk, we talk about the asymptotic behaviours of solutions for linear wave equations with frictional damping only on Wentzell boundary, but without any interior damping. Making some elaborate and subtle analysis of an associated auxiliary system, we obtain an ideal estimate of the resolvent of the generator of the system along the imaginary axis. This enables us to prove that the energies of the system decay polynomially. Our energy stability result presents a solution, in the linear case, to the problem proposed by Cavalcanti et al. (2007), which was put forward as a “hard problem” due to the lack of interior damping.
報告人姓名: 李嬋
報告人所在單位: 杭州電子科技大學
報告人職稱/職務及學術頭銜: 講師/博士
報告時間: 2020年12月10 日上午 10：00-11：00
報告方式: 騰訊會議929 986 183
報告人簡介: 李嬋，現任杭州科技大學教師。本科畢業于蘭州大學數學學院，博士畢業于復旦大學數學科學學院。研究方向為非線性偏微分方程的理論研究，尤其是有界區域上波動方程的鎮定性問題。相關研究論文發表于JDE等國際知名數學雜志。