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Shuanglin Shao; In this paper, we study the extremal problem for the Strichartz inequality for the Schr\"{o}dinger equation on the $\mathbb{R} \times \mathbb{R}^2$; we provide a new proof to the ...Shuanglin Shao 3 Research Talks 1. Short course, "An introduction to Fourier Analysis", Huazhong University of Science and Technology, Wuhan, China, July 2017. 2. Department Colloquium, "On characterization of the sharp Strichartz inequality for the Schrödinger equa-tion", National Cheng-Kung University, Taiwan June, 2016. 3.Shuanglin Shao; In this paper, we study the extremal problem for the Strichartz inequality for the Schr\"{o}dinger equation on the $\mathbb{R} \times \mathbb{R}^2$; we provide a new proof to the ...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 ...Shuanglin Shao (Department of Mathematics, Kansas University, Lawrence, Ks., U.S.A.) Abstract In this paper, we study the extremal problem for the Strichartz inequality for the Schrödinger equation on $\mathbb{R}^2$. We show that the solutions to the associated Euler–Lagrange equation are exponentially decaying in the …4 CHANGXING MIAO, SHUANGLIN SHAO, YIFEI WU, AND GUIXIANG XU. 2. Not atio ns and some preliminary estima tes. 2.1. Notations. W e use A. B or B & A to denote the statement that A ...BENOIT PAUSADER AND SHUANGLIN SHAO Abstract. We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schro¨dinger equation in high dimensions n≥ 5, for general L2 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 ... 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 ...From: Shuanglin Shao [v1] Mon, 8 Oct 2007 05:42:33 UTC (11 KB) 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: ...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)864-4762In this paper we study the existence of maximizers for two families of interpolation inequalities, namely a generalized Gagliardo–Nirenberg inequality and a new inequality involving the Riesz energy. Two basic tools in our argument are a generalization of Lieb’s Translation Lemma and a Riesz energy version of the Brézis–Lieb lemma.STATE OF NEW HAMPSHIRE CHAIRMAN Martin P. Königsberg TDD Access: Relay NH 18007352964 COMMISSIONERS Robert R. Scott Tel. (603)2712431 FAX No. 2713878 EXECUTIVE DIRECTOR Debra A. Howland Website:Shuanglin Shao, University of Kansas, May 13 - 26, 2016. May 12 - 19, 2016. Daniel B. Szyld, Temple University, May 11 - 19, 2016. Miyuki Koiso, Kyushu ...Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MWF: 2-3 PM or by appointment. Grade Policy. Homework: There will be 10 homework. Each homework consists of roughly 10 problems; only 3 of them will be graded, which will be decided after you turn in homework in class. The lowest homework grade will be dropped.I have just uploaded to the arXiv my paper “A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation”, submitted to Dynamics of PDE.This is a short note on one formulation of the Clay Millennium prize problem, namely that there exists a global smooth solution to the Navier-Stokes equation on the torus …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 conjectures} for such functions and verify the \textit ...Posted by: Shuanglin Shao | August 15, 2020 Math 810: measure theory and integration. Lecture 1. This semester we will study the measure theory and integration theory, namely Chapters 1,2,3, and 6 in Folland’s real analysis book. The development of measure theory has a long history starting with Weierstrass’s construction of a nowhere ...Shuanglin Shao Department of Mathematics, KU Snow Hall 615 Phone: Fax: 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email: Homepage: Education (785)864-4762 (785)864-5255 [email protected] www.math.ku.edu/ ̃slshao Ph.D. Mathematics, University of California, Los Angeles (UCLA), 2008. Advisor: Terence Tao.by Shuanglin Shao PDF Proc. Amer. Math. Soc. 137 (2009), 135-143 Request permission Abstract: In this paper, we present two arguments showing that the classical linear adjoint cone restriction conjecture holds for the class of functions supported on the cone and invariant under spatial rotation in all dimensions. The first is based on a dyadic ...

Shuanglin Shao (Department of Mathematics, Kansas University, Lawrence, Ks., U.S.A.) Abstract In this paper, we study the extremal problem for the Strichartz inequality for the Schrödinger equation on $\mathbb{R}^2$. We show that the solutions to the associated Euler–Lagrange equation are exponentially decaying in the …Tim Austin, Bradley William Rodgers, Joshua Norbert Zahl, Thai Hoang Le, Jacques Benatar, Jordan Greenblatt, Ben Krause, Nicholas Cook, Kenneth Maples, Paul Anthony Smith, Julia Sealth Garibaldi, Monica Vișan, Zaher Hani, John Bueti, Shuanglin Shao, Soonsik Kwon, Zane Li: פרסים והוקרה: מדליית פילדס (2006) פרס ...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.Sep 23, 2014 · We study the existence of standing waves, of prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ... The purpose of the AWM is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equal treatment of women and girls in the mathematical sciences.

Shuanglin Shao (KU) Department of Mathematics. 138 Cardwell Hall. 1228 N Martin Luther King Jr Drive, Manhattan, KS 66506 . 785-532-6750 | 785-532-0546 fax | …Shao showed that when (α,d) = (2,2), then extremizers must be analytic, and used the functional equations in Foschi’s paper [10] to give an alternative proof to show that extremizers are Guassians. The second author and Shao showed that extremizers must be Gaussians for the case when (α,d) = (2,1) in [11] as well.Shuanglin Shao. Mathematics. 2007; For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear ...…

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