科学研究
报告题目:

Bourgain techniques for low regularity error estimates

报告人:

纪伦(中国科学院数学与系统科学研究院)

报告时间:

报告地点:

金沙9001cc诚为本东北楼二楼报告厅(209)

报告摘要:

Standard time-stepping techniques require a regularity constraint on the initial data u0 for dispersive equations. We introduce a class of filtered integrators for problems where certain constraints are not satisfied. Moreover, when the regularity is critically low (u0∈Hs with s≤d/2),the classical stability argument based on Sobolev spaces does not hold. We have developed a framework of Bourgain spaces that overcomes this problem. In this talk, I will use the example of cubic nonlinear Schrodinger equation to summarize how these techniques are applied.