Shuanglin shao.

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 …Jan 1, 2010 · 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 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 ...Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool ...Shuanglin Shao. Shuanglin Shao. Associate Professor. Contact Info. [email protected] · 785-864-4762. 627 Snow. Personal Links. Webpage Webpage. Research —.

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 (KU) 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; Emergency; Statements and Disclosures;Shuanglin Shao (University of Kansas). Title: On smoothness of extremizers to an adjoint Fourier restriction inequality on S2. Abstract: The extremizers to ...

Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MWF: 2:00 --- 3:00 PM, or by appointment. Miscellaneous

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).Oct 28, 2014 · Authors: Jincheng Jiang, Shuanglin Shao, Betsy Stovall Download PDF Abstract: We establish linear profile decompositions for the fourth order Schrödinger equation and for certain fourth order perturbations of the Schrödinger equation, in dimensions greater than or equal to two. 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 extremizer, then f is extremely fast decaying in Fourier space and so f can be extended to be an entire function on the whole complex domain. The rapid decay of the Fourier ...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 ...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. Advisor 1: Terence Chi-Shen Tao. No students known. If you have additional information or corrections ...

May 19, 2022 · 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 $\mathbb{R}^2$.

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 ...

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 areShuanglin Shao. Community member details; Affiliation: Faculty: Title: Associate Professor: Department: Mathematics: Address: 1445 Jayhawk Boulevard Room 627: Email: …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.Related Forms - New_Hampshire Shuanglin Shao - KU Mathematics Department HOMEWORK 9 STRANGLING SHAO1.... Shuanglin Shao · DOWNLOAD PDF + SAVE TO MY LIBRARY. Anal. PDE 2(1): 83-117 (2009). DOI: 10.2140/apde.2009.2.83. ARTICLE MENU. ABOUT; FIRST PAGE; CITED BY ...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 ...``Existence of extremals for a Fourier restriction inequality'' (joint work with Shuanglin Shao) Abstract: The Fourier transform maps $ L^2(S^2)$ to $ L^4(R^3)$. We show that there exist functions which extremize the associated inequality, and that any extremizing sequence of nonnegative functions has a convergent subsequence. This was ...

20 jun 2017 ... Shuanglin Shao, mathematics; Suzanne Shontz, electrical engineering and computer science; Randy Stotler, geology; Jason Travers, special ...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 Fall 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 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...Abstract: Unconventional superconductors have Cooper pairs with lower symmetries than in conventional superconductors. In most unconventional superconductors, ...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.

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.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 ...

In 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.André Martinez, Thierry Ramond and Johannes Sjöstrand: Global existence and uniqueness results for weak solutions of the focusing mass-critical nonlinear Schrödinger equationThe 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 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¨oindgerShuanglin Shao. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...SHUANGLIN SHAO Abstract. We prove that the extremizers to the Tomas-Stein inequality for the one dimension sphere are smooth. This is achieved by studying the associated generalized Euler-Lagrange equa-tion. 1. Introduction To understand the Fourier transform of functions on the Euclidean space, Stein [31] proposed the restriction problem.Aug 31, 2008 · 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 Download PDF 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 …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.

Analysis and Ergodic Theory Summer School, Lake Arrowhead ∗ September 17th - September 22nd 2006 Organizers: Ciprian Demeter, University of California, Los Angeles

SHUANGLIN SHAO Abstract. Please send me an email if you nd mistakes. Thanks. 1. P151. # 19.1 Proof. (a). (b). The function is uniformly continuous on [0;ˇ] by Theorem 19.2 because it is continuous on [0;ˇ]. (c). This function is uniformly continuous on (0;1) by Theorem 19.5 because it can be extended to be a continuous function on [0;1]. The ...

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...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 …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 ...anski for helpful discussions, and Shuanglin Shao for corrections. 2. Reviewof H1 theory In solving (1) we first make a well-known reduction. For smooth solu-tions to (1), the mean u = u(t) := Z Ω u(t,x) dx is easily seen by integration by parts to be an invariant of the flow (this is just conservation of momentum), thus u = u0. By making theShuanglin 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 We study the existence of standing waves, of prescribed L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MWF: 1:00 --- 2:00 PM, or by appointment. Grade Policy.Jun 8, 2009 · 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. Shuanglin Shao works in harmonic analysis and partial differential equations. He is interested in establishing the profile decomposition result for the Airy equation, and the problem of pointwise convergence of solutions to the Schrödinger equation. Dates at IAS Member. School of Mathematics. 9/2008 - 8/2009.SHUANGLIN SHAO Abstract. Please send me an email if you nd mistakes. Thanks. 1. P151. # 19.1 Proof. (a). (b). The function is uniformly continuous on [0;ˇ] by Theorem 19.2 because it is continuous on [0;ˇ]. (c). This function is uniformly continuous on (0;1) by Theorem 19.5 because it can be extended to be a continuous function on [0;1]. The ...6 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 ...

Thesis advisor: Shuanglin Shao First job: Assistant Teaching Professor, Arizona State University, Tempe, AZ Website: Link. Mehmet Yenisey. Graduation date: Summer 2022 Research area: Probability Theory Thesis title: The metric geometry nature of Wasserstein spaces of probability measures: On the point of view of submetry projections In 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.Jianbo Tian 1 , Xianglin Yuan 2 , Jun Xiao 3 , Qiang Zhong 4 , Chunguang Yang 3 , Bo Liu 2 , Yimin Cai 1 , Zequn Lu 1 , Jing Wang 3 , Yanan Wang 3 , Shuanglin Liu 5 , Biao Cheng 6 , Jin Wang 7 , Ming Zhang 1 , Lu Wang 1 , Siyuan Niu 1 , Zhi Yao 8 , Xiongbo Deng 9 , Fan Zhou 10 , Wei Wei 11 , Qinglin Li 12 , Xin Chen 2 , Wenqiong Chen 3 , Qin ...Instagram:https://instagram. who was president in 1989dr cameron ledforduniversity coimbrakansas university volleyball roster 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?Thesis advisor: Shuanglin Shao First job: Assistant Teaching Professor, Arizona State University, Tempe, AZ Website: Link. Mehmet Yenisey. Graduation date: Summer 2022 Research area: Probability Theory Thesis title: The metric geometry nature of Wasserstein spaces of probability measures: On the point of view of submetry projections engl 210work at crossword clue 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. jaden robinson 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, University of Kansas. • MS04-C-3 (5:40pm) Reductions of the 2D Kuramoto-Sivashinky equations. Adam Larios, Univer- sity of Nebraska Lincoln.