中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Professor Nicolas Burq（University of Paris-Saclay, France）
题 目：Scattering for nonlinear Schrodinger. Probabilistic and deterministic（I）
时 间：2024.03.08（星期五）09:30-11:30
地 点：数学院南楼N933
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题 目：Scattering for nonlinear Schrodinger. Probabilistic and deterministic（II）
时 间：2024.03.09（星期六）09:30-11:30
地 点：数学院南楼N933
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题 目：Scattering for nonlinear Schrodinger. Probabilistic and deterministic（III）
时 间：2024.03.10（星期日）09:30-11:30
地 点：数学院南楼N933
摘 要：In this talk I will present some new results concerning the NLS. Namely, I will show that in many cases when scattering is known, the scattering operator has a simple structure: it is equal to the identity plus a smoothing ( nonlinear) operator. This new deterministic result is much inspired by recent probabilistic results where this smoothing property appears very naturally. I will also present some of these probabilistic results.
This is based in joint works with H. Koch, N. Tzvetkov and N. Visciglia.
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