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Uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space

来源:太阳成集团tyc411 发布时间:2021-06-04   204

报告人:周忆(复旦大学)

时间:202164日(星期五)下午15:40-16:25

地点:工商楼412教室

摘要:There are a few results about the global stability of nontrivial solutions to quasilinear wave equations. In this paper we are concerned with the uniqueness and stability of traveling wave to the time-like extremal hypersurface in Minkowski space.Firstly, we can get the existence and uniqueness of traveling wave solutions to the time-like extremal hypersurface in R#$(&$#) , which can be considered as the generalized Bernstein theorem in Minkowski space. Furthermore, we also get the stability of traveling wave solutions with speed of light to time-like extremal hypersurface in 1 + (2 + 1) dimensional Minkowski space, which is corresponding with quasilinear wave equation in two dimensions



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