Shuanglin shao.

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. 9 …His research mentor is Shuanglin Shao, associate professor of mathematics. MathUGRAs are awarded to students conducting semester-long independent projects culminating in an oral presentation or written work, demonstrating the student’s own development of a topic in mathematics and its applications. Recipients of the award are …Download a PDF of the paper titled A remark on the two dimensional water wave problem with surface tension, by Shuanglin Shao and Hsi-Wei Shih Download PDF Abstract: We consider the motion of a two-dimensional interface between air (above) and an irrotational, incompressible, inviscid, infinitely deep water (below), with surface tension …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 ...

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 | math ...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.

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.

SHUANGLIN SHAO; BENOIT PAUSADER. Mathematics Department, Brown University, Box 1917, Providence, Rhodes Island 02912, USA. Search for more papers by this authorDec 9, 2022 · Shuanglin Shao: 306 Snow: Thursday, 9/1/22: 4:00 pm: Graduate Student Probability Seminar Random Walk: A Modern Introduction Ray Zhang: 564 Snow: Friday, 9/2/22: 12:00 pm: GSO Seminar Intro to D-modules Christopher Wong: 256 Snow 3:00 pm: Combinatorics Seminar Counting Embeddings of Graphs in State Space Vance Gaffar, Baker University: 306 Snow 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 …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: ...

Jun 22, 2010 · 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 ...

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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.DOI: 10.1142/S0219891610002256 Corpus ID: 14454549; THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS @article{Pausader2009THEMF, title={THE MASS-CRITICAL FOURTH-ORDER SCHR{\"O}DINGER EQUATION IN HIGH DIMENSIONS}, author={Benoit Pausader and Shuanglin Shao}, journal={Journal of Hyperbolic Differential Equations}, year={2009}, volume={07}, pages={651-705}, url={https://api ...Enter the email address you signed up with and we'll email you a reset link.... 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 ...Shuanglin Shao. October 30, 2013 Real vector spaces. In this section, we discuss the definition of vector spaces. Then we give some examples which are vector spaces, and are not vector spaces. Vector Space Axioms. Definition. Let V be an arbitrary nonempty set of objects on which two operations are defined: addition, and multiplication by scalars.

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-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 | math ... Associate Professor, Acting Associate Chair and Director of Undergraduate Studies, Spring 2024Shao 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'DellInstructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MWF: 1:00 --- 2:00 PM, or by appointment. Grade Policy. 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 Enter the email address you signed up with and we'll email you a reset link.

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Related Forms - New_Hampshire Shuanglin Shao - KU Mathematics Department HOMEWORK 9 STRANGLING SHAO1.Shuanglin Shao University of Kansas + 2008–09. 2008–09. Xianjin Chen University of Science and Technology of China. Mark Herman University of Rochester. YunKyong Hyon National Institute for Mathematical Sciences (NIMS) Mark Iwen Michigan State University. Srividhya Jeyaraman Indiana University.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 ... 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 Events from this organizer Today Upcoming November 2023 Fri 3 November 3 - November 4 19th Prairie Analysis Seminar Kansas State University, …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's Blog. research and teaching related . Posted by: Shuanglin Shao | October 31, 2020 Measure and integration theory, Lecture 14. Let be a measure space and . Definition. The norm is defined to be When , Define . Remark. (1). . Indeed, there exists such that . Then . Since the latter sets are increasing,

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 ...

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 ... 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 Department of Mathematics, KU Snow Hall 615 Phone: Fax: 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email: Homepage: Education …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.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 …Tue, 06/06/2017. LAWRENCE — Chancellor Bernadette Gray-Little has approved promotion and the award of tenure where indicated for 62 individuals at the University of Kansas Lawrence and Edwards campuses and 77 individuals at the KU Medical Center campuses. Chancellor Gray-Little, along with Provost and Executive Vice Chancellor Neeli Bendapudi ...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, University of Kansas, May 13 - 26, 2016. May 12 - 19, 2016. Daniel B. Szyld, Temple University, May 11 - 19, 2016. Miyuki Koiso, Kyushu ...

... 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. 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: 1:00 --- 2:00 PM, or by appointment. Grade Policy. Homework: There will be 10 homework. Each homework consists of roughly 20 problems; only 3 of them will be graded, which will be decided after you turn in homework. The lowest homework grade will be dropped.Instagram:https://instagram. 24 hour smoke shops open near menebraska volleyball vs kansasku pitt stateweekly hotels with kitchens near me [30] Shao, Xiaolu, Li, Shuanglin, Liu, Na, Song, Jie. The Madden-Julian oscillation during the 2016 summer and its possible impact on rainfall in China.Shuanglin Shao 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. View hilltop daycare centerwhat are the 7 steps of the writing process 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.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 … khalil hervert 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. Home About Select to follow link Department of Mathematics History (1866-1970) Employment