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SHUANGLIN SHAO Abstract. In [5], when the spatial variable x is localized, Lee observed that the Schro¨dinger maximal operator eit∆f(x) enjoys certain localization property in tfor frequency localized functions. In this note, we give an alternative proof of this observation by using the method of stationary phase, and then include twoShuanglin Shao, Linear and bilinear endpoint Strichartz estimates : Christoph Thiele: Vjekoslav Kovac, Carleson's almost everywhere convergence theorem : Nov. 28: Shuanglin Shao, Linear and bilinear endpoint Strichartz estimates : Terence Tao: Zubin Gautam, A pointwise ergodic theorem for amenable groups: Dec. 5: Zubin Gautam, A pointwise ...Shuanglin Shao, mathematics; Suzanne Shontz, electrical engineering and computer science; Randy Stotler, geology; Jason Travers, special education; Yang Yi, electrical engineering and computer science; Jiso Yoon, political science; Want articles like this sent straight to your inbox?CBMS regional conference series in mathematics, July 2006. Softcover, 373 pages. ISBN-10: 0-8218-4143-2, ISBN-13: 978-0-8218-4143-3. These lecture notes try (perhaps ambitiously) to introduce the reader to techniques in analyzing solutions to nonlinear wave, Schrödinger, and KdV equations, in as self-contained a manner as …Forbes China launched its first annual list to honor 50 Top Women in Tech in mainland China in 2019. The third edition is out in the latest issue of Forbes China magazine. The list identified ...SHUANGLIN SHAO Abstract. Please send me an email if you nd mistakes. Thanks. 1. P289. # 33.1 Proof. The proof is similar to Theorem 33.1. So we skip it. 2. P289. # 33.2 Proof. We show that supfcSg= csupSfor c>0. The proof for in mum is similar. Firstly for s2S, cs csupS: So csupSis an upper bound. For >0, there exists s 0 2Ssuch that s 0 supS ...Shuanglin Shao (U.C.L.A.) Restriction estimates for Paraboloids in the Cylindrically Symmetric Case In this talk, we will discuss the linear and bilinear restriction estimates for paraboloids when functions are assumed to be cylindrically symmetric. For dyadically supported functions, further estimates are available and sharp up to endpoints ...Download a PDF of the paper titled Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation, by Shuanglin Shao Download PDF Abstract: In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrödinger equation in all dimensions ...Spring 2016, Math 766, Real Analysis Course Information. Course Coverage: This course is the second part of real analysis at the graduate level; the first part is Math 765.. It continues with the following topics from Chapters 7, 8, 10, 11: infinite series of functions, the Topology in the Euclidean spaces, Metric spaces, and Differentiability onAuthors: Soonsik Kwon, Shuanglin Shao. Download PDF Abstract: In this short note, we consider the global dynamics of the defocusing generalized KdV equations: u_t + u_{xxx} = (|u|^{p-1}u)_x. We use Tao's theorem that the energy moves faster than mass to prove a moment type dispersion estimate. As an application of the dispersion …Shuanglin Shao (University of Kansas) On smoothness of extremizers to an adjoint Fourier restriction inequality on S^2. Abstract. Tuesday, October 16, 4:00 p.m., VV B139. Laurent Stolovitch (University of Nice - Sophia Antipolis) Normal forms of analytic perturbations of quasihomogeneous vector fields Abstract.Shuanglin Shao——The entropy estimate for the res... 时间：12月12日，9:00-10:00 地点：Zoom会议，会议号：988 9149 1513，密... 人才招聘. Copyright (C)2017 ...Shuanglin Shao: Snow 306: Thursday, 3/31/22: 4:00 pm: Smith Colloquium Moduli Space of Fano Varieties Yuchen Liu, Northwestern University Zoom link: https://kansas ...View public records and voter registration of Shuanglin Hao born 1964, includes court and personal records. ... Email: [email protected] . Shuanglin Hao Addresses ...

Shuanglin Shao 3 Research Talks 1. Beijing Conference on harmonic analysis and its applications , "On characterization of the sharp Strichartz inequalities for the Schrdinger equations"¨ , University of Chinese Academy of Sciences, Beijing, China, June 2018. 2. Special Section of nonlinear Dispersive Equations , "On characterization of the ...Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool ... Shuanglin Shao UCLA, Los Angeles, USA; Download PDF. Abstract. For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear adjoint restriction estimates. As corollaries, we first extend the ranges of exponents for the classical \textit{linear or bilinear adjoint restriction ...Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MWF: 1:00 --- 2:00 PM, or by appointment. Grade Policy.A remark on the Strichartz inequality in one dimension. Ryan Frier, Shuanglin Shao. In this paper, we study the extremal problem for the Strichartz inequality for the Schrödinger equation on . We show that the solutions to the associated Euler-Lagrange equation are exponentially decaying in the Fourier space and thus can be …

Shuanglin Shao Professor in the Mathematics department at University of Kansas 17% Would take again 3.6 Level of Difficulty Rate Professor Shao I'm Professor Shao Professor Shao 's Top Tags Get ready to read Participation matters EXTRA CREDIT Tough grader Group projects Check out Similar Professors in the Mathematics Department SHUANGLIN SHAO Abstract. In this paper, we show that a pair of Gaussian functions are extremisers to a bilinear Strichartz inequality on R×R2, and unique up to the symmetry group of the inequality. 1. Introduction We consider the free Schr¨odinger equation i∂tu+∆u = ……

Reader Q&A - also see RECOMMENDED ARTICLES & FAQs. 4 CHANGXING MIAO, SHUANGLIN SHAO, YIFEI WU, . Possible cause: Shuanglin Shao. Associate Professor; View full profile . 405 Snow Hall 1460 Jayhawk Blv.