中科院数学与系统科学研究院
数学研究所
学术报告
数论研讨班
报告人:孙玉奇(内蒙古大学)
题 目:On coarse isometries and linear isometries of Banach spaces
时 间:2024.07.18(星期四)15:00-16:00
地 点:N820
报告人:Fangchi Yan(Department of Mathematics, Virginia Tec)
题 目:Well- posedness of initial-boundary value problems for the Korteweg- de Vries equation
时 间:2024.07.19(星期五)10:00-11:00
地 点:N820
摘 要:Nonlinear dispersive equations, such as the Korteweg- de Vries (KdV) equation, play a crucial role in describing wave phenomena in nature, such as shallow water waves. However, solving the initial-boundary value problems of these equations, particularly ensuring the existence, uniqueness, and stability of solutions, is a highly challenging mathematical problem. This talk will introduce our recent progress in studying the well- posedness of initial-boundary value problems for the KdV equation and its generalizations.
报告人:David R. Larson(Department of Mathematics, Texas A&M University)
题 目:Frames generated by representations of semigroups
时 间:2024.07.22(星期一)9:30-10:30
地 点:N820
摘 要:We first discuss an early result of the speaker and D.Han that completely characterizes the similarity classes of frames generated by the action of a group of operators on a Hilbert space in terms of the unitary group of a von Neumann algebra. Then we obtain a canonical form for frames generated by a semigroup action. This is related to recent work of Aldroubi, Christensen, et.al., on dynamical sampling frames.