Resolvent estimates in harmonic analysis
调和分析中的预解式估计
调和分析中的预解式估计
7月26号至7月30号；深圳，南方科技大学
疫情原因,后改为杭州,浙江大学
在读研究生、博士生以及博士后
调和分析中的预解式估计及相关问题
我们采用的是与会者负责报告相关科研文章的模式。我们挑选了13篇跟预解式估计相关的文章，每位与会者挑选一篇文章，负责在暑期学校前详细阅读并且在暑期学校当周做报告。
每位与会者做两次报告，每次一个小时。
我们会为每位与会者提供交通以及住宿的资助。
Kenig, Ruiz and Sogge: Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators, Duke Math Journal, 1987.
Jerison: "Carleman inequalities for the Dirac and Laplace operators and unique continuation", Adv. Math. 1986.
Sogge: Concerning the L^p norm of spectral clusters for second-order elliptic operators on compact manifolds, JFA, 1988.
Smith and Sogge, On the L^p norm of spectral clusters for compact manifolds with boundary, Acta, 2007.
Frank and Sabin: Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces, Adv. Math, 2019.
Burq, Gerard, Tzvetkov: Bilinear eigenfunction estimates and nonlinear Schrodinger equation on surfaces, Invent. Math. 2005
Bourgain, Shao, Sogge and Yao: On L^p-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds, CMP, 2015.
Hickman: Uniform resolvent estimates on the torus, Math. Res. Rep., 2019
Kwon and Lee: Sharp Resolvent Estimates Outside of the Uniform Boundedness Range, CMP, 2020
Frank, Sabin: Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates, AJM, 2017.
Frank: Eigenvalue bounds for Schrödinger operators with complex potentials. III, Trans. AMS, 2018.
Goldberg and Schlag: A limiting absorption principle for the three-dimensional Schrödinger equation with Lp potentials, IMRN, 2004;
Frank: Eigenvalue bounds for Schrödinger operators with complex potentials, Bulletin LMS, 2011.
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郭少明，威斯康星大学麦迪逊分校 shaomingguo at math.wisc.edu
刘博辰，南方科技大学 liubc at sustech.edu.cn
席亚昆，浙江大学 yakunxi at zju.edu.cn