Shuanglin shao.

Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MF: 10:00 -- 11:00 AM, or by appointment. Miscellaneous There will be a take-home final in this course, which is due by Dec. 10, 2018. There are 10 homework assignments throughout the course. ...S. Shao, The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality, Anal. Partial Differential Equations 2 (1) (2009) 83–117. [30] S. Shao, Maximizers for the Strichartz inequalities and the Sobolev–Strichartz inequalities for the Schrödinger equation, Electron. J.Benoit Pausader, Shuanglin Shao. We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrodinger equation in high dimensions n>4, for general L^2 initial data in the defocusing case, and for general initial data with Mass less than certain fraction of the Mass of the Ground State in the focusing case.Posted by: Shuanglin Shao | October 18, 2020 Measure and Integration theory, Lecture 13. Lemma 3.15. (Vitali type covering lemma.

We prove scattering for the defocusing fourth-order Schrödinger equation in low spatial dimensions (1 ⩽ n ⩽ 4). Inspired by the method in (Pausader 2010 Indiana Univ. Math. J. 59 791–822), we utilize a strategy from Kenig and Merle (2006 Invent. Math. 166 645–75) to compensate for the absence of a Morawetz-type estimate, then we use a new virial-type ingredient to finish the proof.

... Shuang; Lin, Shao; Hajat, Shakoor; Yang, Lianping; Huang, Cunrui; (2019) The impact of the 2016 flood event in Anhui Province, China on infectious diarrhea ...

Shuanglin Shao Atanas Stefenov Date defended: May 11, 2015. The Dissertation Committee for Lucas Chaffee certifies that this is the approved version of the following dissertation : Commutators of Multilinear Singular Integral Operators with Pointwise Multiplication Rodolfo Torres, Chairperson6 benoit pausader and shuanglin shao with the usual modification when p or q is infinite, and for I ⊂ R an interval, we let L p ( I, L q ) be the set of r estriction to I of functions in L p ...Shuanglin Shao (IMA - University of Minnesota) On extremals to the Tomas-Stein inequality for the sphere Abstract. Tuesday, September 14, 4:00 p.m., VV B139. Alexander Nagel (UW Madison) Convolution with flag distributions on homogeneous nilpotent Lie groups Abstract. Tuesday, September 21, 4:00 p.m., VV B139. Andrej Zlatoš (UW Madison)Shuanglin Shao. Mathematics. 2009; In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all …

Shuanglin's Blog. research and teaching related . Posted by: Shuanglin Shao | August 29, 2020 Measure and Integration theory, Lecture 3. In this section, the …

Authors: Shuanglin Shao. Download PDF Abstract: In this note, we show that a pair of Gaussian functions are extremisers to a bilinear Strichartz inequality, and unique up to the symmetry group of the inequality. Comments: 6 pages. The constant in defining the inverse Fourier transform is corrected;the expression of convolution of …

Authors: Shuanglin Shao. Download PDF Abstract: In this paper, for cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and linear adjoint restriction estimates.I would also like to thank Donghao Wang and Ruixiang Zhang for helpful discussion on Proposition 5.3. I would like to thank the anonymous referees for the thorough reading and for many writing suggestions that improved the presentation of this paper. I would like to also thank Susan Ruff and Shuanglin Shao for their writing advice.Photograph By:Wang Hock Weng. Lian Shan Shuang Lin Monastery is a Buddhist monastery located in Toa Payoh, Singapore. The temple was founded in 1898, but the construction of the premises only began in 1902 by Low …Shuanglin Shao Events from this organizer Today Upcoming November 2023 Fri 3 November 3 - November 4 19th Prairie Analysis Seminar Kansas State University, …Shuanglin 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 ...Sep 23, 2014 · We study the existence of standing waves, of prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ... Shuanglin Shao. MathSciNet. Ph.D. University of California, Los Angeles 2008. Dissertation: Restriction Estimates for Paraboloids and Cones in the Cylindrically Symmetric Case. Mathematics Subject Classification: 42—Fourier analysis.

Shuanglin Shao. Mathematics. 2010; In [5], when the spatial variable x is localized, Lee observed that the Schrödinger maximal operator eit∆f(x) enjoys certain localization property in t for frequency localized functions. In this … Expand. Highly Influenced. PDF. 8 Excerpts; Save. Some Recent Progress on the Restriction Conjecture.BENOIT PAUSADER AND SHUANGLIN SHAO Abstract. We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schro¨dinger equation in …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. Mathematics. 2010; In [5], when the spatial variable x is localized, Lee observed that the Schrödinger maximal operator eit∆f(x) enjoys certain ...Photograph By:Wang Hock Weng. Lian Shan Shuang Lin Monastery is a Buddhist monastery located in Toa Payoh, Singapore. The temple was founded in 1898, but the construction of the premises only began in 1902 by Low …14 jun 2023 ... My PhD advisor was Shuanglin Shao. I received my BFA, BA, and BS at Friends University in Wichita, KS. I also received my MS at Emporia ...

JIN-CHENG JIANG AND SHUANGLIN SHAO Abstract. Inthis paper, we studythe extremal problem for the Strichartz inequality for the Schr¨odinger equation on the R×R2. We show that the solutions to the associated Euler-Lagrange equation are exponentially decaying in the Fourier space and thus can be extended to be complex analytic.

Shuanglin Shao Department of Mathematics University of Kansas 615 Snow Hall 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email:slshao_at_ku.edu Tel: +1-(785)864-4762 Fax:+1-(785)864-5255 Curriculum Vitae (PDF) Research Paper and Preprints Teaching Fall 2011, Math 290 Spring 2012, Math 500 FallWe study the existence of standing waves, of prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...Shuanglin Shao, Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric case, Rev. Mat. Iberoam. 25 (2009), no. 3, 1127–1168. MR 2590695, DOI 10.4171/RMI/591; Shuanglin Shao, A note on the cone restriction conjecture in the cylindrically symmetric case, Proc. Amer. Math. Soc. 137 (2009), no. 1, 135–143.Shuanglin Shao. Department of Mathematics University of Kansas 615 Snow Hall 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email:slshao_at_ku.edu Tel: +1-(785)864-4762 Currently supported by the UCAS Joint Training Program, I visit Shuanglin Shao for one year (extended to two years) at Department of mathematics in University of Kansas. I have broad interests in ...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 on Download a PDF of the paper titled A note on the cone restriction conjecture in the cylindrically symmetric case, by Shuanglin Shao Download PDF Abstract: In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant ...

From: Shuanglin Shao Mon, 8 Oct 2007 05:42:33 UTC (11 KB) [v2] Fri, 20 Jun 2008 05:30:27 UTC (9 KB) Full-text links: Download: Download a PDF of the paper titled A note on the cone restriction conjecture in the cylindrically symmetric case, by Shuanglin Shao. PDF; PostScript; Other formats Current browse context: ...

30 nov 2017 ... From: Shuanglin Shao [view email] [v1] Thu, 30 Nov 2017 21:38:36 UTC (17 KB). Full-text links: Access Paper: Download a PDF of the paper ...

Pacific Shuanglin Bio pharmacy Co Ltd, formerly Southern Shuanglin Bio-pharmacy ... Shao Lan Fu. 12.57 %. 80,381,128, 12.57 %, 233 M ¥. KAISA GROUP HOLDINGS LTD ...JIN-CHENG JIANG AND SHUANGLIN SHAO Abstract. Inthis paper, we studythe extremal problem for the Strichartz inequality for the Schr¨odinger equation on the R×R2. We show that the solutions to the associated Euler-Lagrange equation are exponentially decaying in the Fourier space and thus can be extended to be complex analytic.Michael Christ and Shuanglin Shao, Existence of extremals for a Fourier restriction inequality, Anal. PDE 5 (2012), no. 2, 261–312. MR 2970708, DOI 10.2140/apde.2012.5.261; Michael Christ and Shuanglin Shao, On the extremizers of an adjoint Fourier restriction inequality, Adv. Math. 230 (2012), no. 3, 957–977. MR 2921167, DOI 10.1016/j.aim ...Aug 31, 2008 · 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 ... Shuanglin Shao. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: M, W, F: 2-3 PM or by appointment. Grade Policy. Homework: There will be 10 homework. Each homework consists of roughly 15 problems; only 3 of them will be graded, which will be decided after you turn in homework. The lowest homework grade will be dropped.View public records and voter registration of Shuanglin Hao born 1964, includes court and personal records. ... Email: [email protected] . Shuanglin Hao Addresses ... See the complete profile on LinkedIn and discover Shuanglin’s connections and jobs at similar companies. View Shuanglin Shao’s profile on LinkedIn, the world’s largest …Shuanglin Shao is on Facebook. Join Facebook to connect with Shuanglin Shao and others you may know. Facebook gives people the power to share and makes the world more open and connected.

Shuanglin Shao In this paper, we discuss the properties of one dimensional quantum Zakharov system which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic...2 ene 2009 ... A restriction theorem for the Fourier transform. Bull. Amer. Math. Soc., 81:477–. 478, 1975. Shuanglin Shao. Department of Mathematics, ...research and teaching related Posted by: Shuanglin Shao| November 5, 2020 Measure and Integration theory, Lecture 15 Theorem 6.17. (Chebyshev’s inequality.) If for , then for …Shuanglin Shao Department of Mathematics University of Kansas 615 Snow Hall 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email:slshao_at_ku.edu Tel: +1-(785)864-4762 Fax:+1-(785)864-5255 Curriculum Vitae (PDF) Research Paper and Preprints Teaching Fall 2011, Math 290 Spring 2012, Math 500 FallInstagram:https://instagram. where is les miles coachinghow to calculate gpa on a 6.0 scaleweatherproof vintage since 1948ge tracker ancient essence Shuanglin Shao is on Facebook. Join Facebook to connect with Shuanglin Shao and others you may know. Facebook gives people the power to share and makes the world more open and connected. accuweather carpentersville ilwhat do you learn from sports University of Zurich, Department of Economics, Zurich, Switzerland. All members of the Editorial Board have identified their affiliated institutions or organizations, along with the corresponding country or geographic region. Elsevier remains neutral with regard to any jurisdictional claims. Read the latest articles of China Economic Review at ... 12 feb 2021 ... In: arXiv preprint math/9704212 (1997) (cit. on p. 4). [Sha08]. Shuanglin Shao. “Maximizers for the Strichartz inequalities and the Sobolev-. ku math dept Table 2. 4. Conclusions; Reference. Cite this Article. Zhu Yun-Ke, Zhong Jian, Lei Shu-Ying, Chen Hui, Shao Shuang-Shuang, Lin Yu. High-efficiency organic ...Shuanglin Shao Regularity of solutions to the Schrodinger equation: Nov. 15: Michael VanValkenburgh Glancing Rays: Friedlander's Example: Michael VanValkenburgh: Shuanglin Shao Regularity of solutions to the Schrodinger equation: Nov. 22: Andrea Nahmod Bilinear Pseudodifferential Operators: Christoph Thiele: Shuanglin Shao