Shuanglin shao

Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: M, W: 9:30-10:30 AM or by appointment. Grade Policy. Homework: There will be 5 homework. Midterm: There will one midterm of 50 minutes in class. Final Exam: There is a comprehensive final exam in class. The time ...

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 ...Oct 18, 2020 · Posted by: Shuanglin Shao | October 18, 2020 Measure and Integration theory, Lecture 13. Lemma 3.15. (Vitali type covering lemma. Zican Zha查子灿. Faculty Jinhui Tang 唐金辉 Lab LeaderProfessor Zechao Li 李泽超 Professor Jinshan Pan 潘金山 Professor Xiangbo Shu 舒祥波 Professor Jiangxin Dong 董姜鑫 Professor Xinguang Xiang 项欣光 Associate Professor Yunlian Su….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 onShuanglin Shao - United States | Professional Profile | LinkedIn Shuanglin Shao -- United States 47 followers 47 connections Join to view profile UCLA Activity As the #Shenzhou13 space mission...4 ene 2021 ... Title:A remark on the Strichartz inequality in one dimension. Authors:Ryan Frier, Shuanglin Shao. Download a PDF of the paper titled A remark ...

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 ...Authors: 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 …Mar 1, 2012 · Shuanglin Shao. Mathematics. 2007; For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear ... 808 Yong Ding, Chin-Cheng Lin & Shuanglin Shao. Corollary 1.7. If Cl e L°°(Kn) X L"(5n~'), q > 2(n - 1 )/n, satisfies (1.1) and the Ll -Dini condition (1.2) ...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.We identify the compactness threshold for optimizing sequences of the Airy–Strichartz inequality as an explicit multiple of the sharp constant in the Strichartz inequality. In particular, if the sharp constant in the Airy–Strichartz inequality is strictly smaller than this multiple of the sharp constant in the Strichartz inequality, then there is an optimizer for the former inequality. Our ...The first deals with multilinear determinant functionals and is essentially a minor adaptation of the main theorem of [27], which establishes the connection between the Oberlin-type rectangle ...

Shuanglin Shao Rev. Mat. Iberoamericana 25(3): 1127-1168 (October, 2009). ABOUT FIRST PAGE CITED BY REFERENCES DOWNLOAD PAPER SAVE TO MY LIBRARY Abstract. For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear adjoint restriction estimates. ...4 RYAN FRIER AND SHUANGLIN SHAO prove that they are exponentially affine functions. In [2], Charalambides generalizes the analysis in [4] to some general hyper-surfaces in Rn that in-clude the sphere, paraboloids and cones as special examples and proves that the solutions are exponentially affine functions. In [2, 4], the functions areSOONSIK KWON, SHUANGLIN SHAO Abstract. We consider the global dynamics of the defocusing generalized KdV equation @tu + @3 xu = @x(jujp 1u): We use Tao’s theorem [5] that the energy moves faster than the mass to prove a moment type dispersion estimate. As an application of the dispersion esti-MathSciNet Ph.D. University of California, Los Angeles 2008 Dissertation: Restriction Estimates for Paraboloids and Cones in the Cylindrically Symmetric Case Mathematics …Pacific Shuanglin Bio pharmacy Co Ltd, formerly Southern Shuanglin Bio-pharmacy Co Ltd, formerly Zhenxing Biopharmaceutical & Chemical Co., Ltd., is a China-based company mainly engaged in the research, development, production and sales of blood products.

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The University of Kansas prohibits discrimination on the basis of race, color, ethnicity, religion, sex, national origin, age, ancestry, disability, status as a veteran, sexual orientation, marital status, parental status, gender identity, gender expression, and genetic information in the university's programs and activities. 6 mar 2023 ... ... Shuanglin Que,. Corresponding Author. Shuanglin Que. [email protected] ... Shao, B. (2017). Circular RNA hsa_circ_0021001 in peripheral blood: A ...Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool ...Shuanglin Shao (KU) Contact: Virginia Naibo. [email protected]. Department of Mathematics. 138 Cardwell Hall. 1228 N Martin Luther King Jr Drive, Manhattan, KS 66506 . 785-532-6750 | 785-532-0546 fax | [email protected]. Undergraduate [email protected] . Graduate [email protected]. Contact Us;Shuanglin was born in May 1, 1964 Shuanglin has 4 phone numbers Shuanglin has 3 relatives Shuanglin has 9 past addresses Shuanglin has 2 emails Shuanglin has 3 associates by phone number Shuanglin has 172 associates by address Shuanglin is married Shuanglin’s home type is Single Family Dwelling Unit The property where Shuanglin lives was built in 1999 Shuanglin has resided at the current ...

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 ...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. Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: M, W: 9:30-10:30 AM or by appointment. Grade Policy.Page xii: Shaunglin should be Shuanglin. Page xiv: should be throughout the text (e.g. on pages 33, 34). Frechet should be Fréchet. Page xv: Frechet should be Fréchet. Page 1: “is still its infancy” should be “is still in its infancy”. Page 2: “A Study in Scarlet” should be “A Scandal in Bohemia”.SOONSIK KWON, SHUANGLIN SHAO Abstract. We consider the global dynamics of the defocusing generalized KdV equation @tu + @3 xu = @x(jujp 1u): We use Tao’s theorem [5] that the energy moves faster than the mass to prove a moment type dispersion estimate. As an application of the dispersion esti-View public records and voter registration of Shuanglin Hao born 1964, includes court and personal records. ... Email: [email protected] . Shuanglin Hao Addresses ...SHUANGLIN SHAO AND HSI-WEI SHIH Abstract. We consider the motion of a two-dimensional interface be-tween air (above) and an irrotational, incompressible, inviscid, infinitely deep water (below), with surface tension present. We propose a new way to reduce the original problem into an equivalent quasilinear sys-Shuanglin Shao is a professor in the Mathematics department at University of Kansas - see what their students are saying about them or leave a rating yourself.Authors: Shuanglin Shao Download PDF Abstract: For cylindrically symmetric functions dyadically supported on the paraboloid, we obtain a family of sharp linear and bilinear adjoint restriction estimates.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.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 ...

Authors: Shuanglin Shao. Download a PDF of the paper titled The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality, by Shuanglin Shao.

Shuanglin Shao. Community member details; Affiliation: Faculty: Title: Associate Professor: Department: Mathematics: Address: 1445 Jayhawk Boulevard Room 627: Email: …SHUANGLIN SHAO (Communicated by Hart F. Smith) Abstract. In this paper, we present two arguments showing that the classi-cal 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 restriction estimate, while the ...SHUANGLIN SHAO Abstract. In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schr¨odinger equation in all dimensions based on the recent linear profile decomposition result. We then present a new proof of the linear profile decomposition for the Schr¨oindgerDownload scientific diagram | Lianshan Shuanglin Monastery. (Courtesy of Mr. Lim Shao Bin) from publication: Conservation of Chinese Temples in Singapore: A Historical Overview | Singapore ...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 ...We identify the compactness threshold for optimizing sequences of the Airy–Strichartz inequality as an explicit multiple of the sharp constant in the Strichartz inequality. In particular, if the sharp constant in the Airy–Strichartz inequality is strictly smaller than this multiple of the sharp constant in the Strichartz inequality, then there is an optimizer for the former inequality. Our ... Related Forms - New_Hampshire Shuanglin Shao - KU Mathematics Department HOMEWORK 9 STRANGLING SHAO1.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 (Institute for Mathematics and its Applications, University of Minnesota, Minneapolis) Yifei Wu (Department of Mathematics, South China University of Technology, Guangzhou, Guangdong, China) Guixiang Xu (Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, China) Keywords

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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 and Monica Visan. 2012, 32(1): 191-221. doi: 10.3934/dcds.2012.32.191. Abstract(4512) PDF(146) Cited by(25). We consider the mass-critical ...We study the existence of standing waves, of prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...On the extremizers of an adjoint Fourier restriction inequality. Michael Christ, Shuanglin Shao. The adjoint Fourier restriction inequality for the sphere states that if then $\widehat {f\sigma}\in L^4 (\reals^3)$. We prove that all critical points of the functional $ orm {\widehat {f\sigma}}_ {L^4}/ orm {f}_ {\lt}$ are smooth; that any ...SHUANGLIN SHAO Abstract. We prove that the extremizers to the Tomas-Stein inequal-ity for the one dimension sphere are smooth. This is achieved by study-ing the associated Euler-Lagrange equation. 1. Introduction To understand the Fourier transform of functions on the Euclidean space, Stein [27] proposed the restriction problem.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. 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.View public records and voter registration of Shuanglin Hao born 1964, includes court and personal records. ... Email: [email protected] . Shuanglin Hao Addresses ... for all. Theorem 1.11. If is an outer measure on , the collection of -measurable sets is a algebra, and the restriction of to is a complete measure. Proof. The proof is divided into 3 Steps. Step 1. We prove that is a algebra. (a). . (b).1. Introduction. Breast cancer in women has become the most common cancer worldwide. There are an estimated 2.3 million new cases each year, accounting for about 11.7% of all new cancer cases. [] At present, the primary approach to treating breast cancer involves surgical resection of the lesion in conjunction with radiotherapy and … ….

We prove that there exists an extremal function to the Airy–Strichartz inequality ‖e−t∂x3f‖Lt, x8(ℝ×ℝ) ⩽ C‖f‖L2(ℝ), using the linear profile decomposition. Furthermore we show that, if f is an extrem...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 ...4 RYAN FRIER AND SHUANGLIN SHAO prove that they are exponentially affine functions. In [2], Charalambides generalizes the analysis in [4] to some general hyper-surfaces in Rn that in-clude the sphere, paraboloids and cones as special examples and proves that the solutions are exponentially affine functions. In [2, 4], the functions areShao Shuanglin Restriction theorem in dimension 2: John Bueti : Zubin Gautam Classification of ergodic transformations with pure-point spectrum: May 02: Steve O'Dell The Aharonov Bohm effect and time-dependent scattering theory: Joe Viola : Shao Shuanglin Restriction Theoem in Dimension 2: May 09: Steve O'DellPhotograph 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 …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 ...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)864-4762Shuanglin Shao: 306 Snow: Friday, 9/3/21: 10:00am: Graduate Student Probability Seminar Fundamentals of Continuous Stochastic Processes: Zoom ...Shuanglin Shao is a professor in the Mathematics department at University of Kansas - see what their students are saying about them or leave a rating yourself. Shuanglin shao, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]