学术报告
Well-posedness, ill-posedness and unique continuation property for Rosenau equation
题目：Well-posedness, ill-posedness and unique continuation property for Rosenau equation
报告人：穆春来 教授（重庆大学数学与统计学院）
摘要：In this talk, it is proved that the Cauchy problem of Rosenau equation is global well-posed for initial data in H^s(R)(s> 0), and ill-posed for initial data in H^s(R)(s < 0) in the sense that the flow mapping is not continuous at the origin from H^s(R) to D'(R) at any fixed t > 0 small enough. Moreover, it is showed that the solution to the Cauchy problem of Rosenau equation has unique continuation property under two sufficient conditions on initial data. On the other hand, It is also proved that the initial boundary value problem has a unique global distributional solution, and the solution mapping is Lipschitz continuous in a neighborhood of initial data.
时间：12月4日（周五）15:00-16:00
地点：首都师大北一区文科楼 707 室
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