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： 郭紫华（Monash University）
题 目：Fourier restriction, Strichartz estimates and their generalizations， Part I
时 间：2022.01.10（星期一），14:00-15:00
地 点：腾讯会议：715 369 351
摘 要：I will talk about some results related to the Fourier restriction estimate, Strichartz estimates and their generalizations. They originate from the interplay between harmonic analysis and nonlinear dispersive PDE. On one hand, harmonic analysis provides many tools for dispersive PDE (singular integral, oscillatory integral, orthogonality tools, function spaces, etc), on the other hand, study on dispersive PDE (low regularity problem, scattering theory, etc) brings in new problems to harmonic analysis. This talk tries to illustrate this with examples.
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报告人： 郭紫华（Monash University）
题 目：Fourier restriction, Strichartz estimates and their generalizations， Part II
时 间：2022.01.11（星期二），14:00-15:00
地 点：腾讯会议：684 894 794
摘 要：I will talk about some results related to the Fourier restriction estimate, Strichartz estimates and their generalizations. They originate from the interplay between harmonic analysis and nonlinear dispersive PDE. On one hand, harmonic analysis provides many tools for dispersive PDE (singular integral, oscillatory integral, orthogonality tools, function spaces, etc), on the other hand, study on dispersive PDE (low regularity problem, scattering theory, etc) brings in new problems to harmonic analysis. This talk tries to illustrate this with examples.
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