Seminars_raw

Uniform Sobolev estimates on R^N and compact manifolds and theire some applications

2018-12-13 00:00

Speaker: Prof. Xiaohua YAO

unit:

Time: 2018-12-08 16:00-17:00

Venue: :The Wei Jin Road No. 6 Building 111

starttime: 2018-12-08 16:00-17:00

Profile:


Theme:
Uniform Sobolev estimates on R^N and compact manifolds and theire some applications
Time:
2018-12-08 16:00-17:00
Venue:
:The Wei Jin Road No. 6 Building 111
Speaker:
Prof. Xiaohua YAO

Abstract

      In this talk, I would like to review some results related to uniform Sobolev estimates of the Laplacian on R^n and compact manifolds. On $R^n$, this kind of estimates are closely to classical Sobolev/Hardy-Littlewood-Sobolev estimates, as well Stein-Tomas theorem. On compact manifolds, the estimates display a different uniformity due to the discrete distribution of spectrum. Besides, I shall discuss some applications to spectral theorem and PDE by using uniform Sobolev estimates


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