Shuanglin shao.
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. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...In this thesis we are mainly concerned with local wellposedness (LWP) problems for nonlinear evolution equations, two global results will then be a direct consequence of conservation laws. A standard scheme to prove LWP is the application of the contraction mapping principle to the corresponding integral equation in a suitable Banach function space. In this context the use of a two parameter ...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 ...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 ...
... 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 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 ShaoShuanglin's Blog. research and teaching related . Posted by: Shuanglin Shao | December 6, 2009 Kato-smoothing effect “Kato smoothing” “is ” important in dispersive PDE.“Smoothing”, as it stands, sounds like a very good word. But why is it good? How will it be used remains as vague questions to me.
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 Events from this organizer Today Upcoming November 2023 Fri 3 November 3 - November 4 19th Prairie Analysis Seminar Kansas State University, …Shuanglin's Blog. research and teaching related . Posted by: Shuanglin Shao | December 6, 2009 Kato-smoothing effect “Kato smoothing” “is ” important in dispersive PDE.“Smoothing”, as it stands, sounds like a very good word. But why is it good? How will it be used remains as vague questions to me.Fall 2017, Math 500, Real Analysis Course Information. Course Coverage: This course intends to cover some basic topics of real analysis at the undergraduate level: the real number system, limits and sequences, sequences and series of functions, continuity and differentiability of functions, Riemann integrals.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.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 ...
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.
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
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. 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 …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. Community member details; Affiliation: Faculty: Title: Associate Professor: Department: Mathematics: Address: 1445 Jayhawk Boulevard Room 627: Email: [email protected]: Contact Information Technology | [email protected] | 785-864-8080. This directory is a public record. It is a violation of Kansas State Law to knowingly give, sell or ...Shuanglin Shao · Renming Song · Zhiqiang Cai · Shizan Fang · Hongjun Gao · Jianhua Huang · Peter Kloeden · Jicheng Liu · Xu Sun · Yanbin Tang · Fuke Wu.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-
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: Snow 306: Thursday, 3/31/22: 4:00 pm: Smith Colloquium Moduli Space of Fano Varieties Yuchen Liu, Northwestern University Zoom link: https://kansas ...Zhao-Ming, Shao ... THE CHINESE ECONOMY AFTER WTO ACCESSION. BAO, SHUMING/LIN, SHUANGLIN/ZHAO, CHANGWEN. 978-0 ...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: 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, …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 ...Shuanglin Shao. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...
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 $\norm {\widehat {f\sigma}}_ {L^4}/\norm {f}_ {\lt}$ are smooth; that any ...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 Kim Pong and was completed in 1907.
Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool ... Christ, Michael and Shao, Shuanglin. On the extremizers of an adjoint Fourier restriction inequality , Advances in Math. 230 (2012), 957-977. Bennett, Jonathan and Carbery, Anthony and Christ, Michael and Tao, Terence. 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 …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 ...Shao 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'DellView public records and voter registration of Shuanglin Hao born 1964, includes court and personal records. ... Email: [email protected] . Shuanglin Hao Addresses ...Enter the email address you signed up with and we'll email you a reset link.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 ...
Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: M, W: 9:30-10:30 AM or by appointment. Grade Policy.
... Shuang; Lin, Shao; Hajat, Shakoor; Yang, Lianping; Huang, Cunrui; (2019) The impact of the 2016 flood event in Anhui Province, China on infectious diarrhea ...
Oct 8, 2007 · 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 ... Shuanglin Shao Affiliation Mathematics Field of Study Analysis From 9/2008 – 8/2009 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 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 ...Aug 29, 2020 · 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). Liked by Shuanglin Shao. Education UCLA Ph. D Math. 2004 - 2008. View Shuanglin’s full profile See who you know in common Get introduced ... 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 ...Zhao-Ming, Shao ... THE CHINESE ECONOMY AFTER WTO ACCESSION. BAO, SHUMING/LIN, SHUANGLIN/ZHAO, CHANGWEN. 978-0 ...Authors: Jin-Cheng Jiang, Shuanglin Shao. Download PDF Abstract: In this paper, we study the extremal problem for the Strichartz inequality for the Schrödinger equation on the $\mathbb{R} \times \mathbb{R}^2$; we provide a new proof to the characterization of the extremal functions.
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-20 jun 2017 ... Shuanglin Shao, mathematics; Suzanne Shontz, electrical engineering and computer science; Randy Stotler, geology; Jason Travers, special ...Shuanglin Shao Department of Mathematics, KU Snow Hall 615 Phone: Fax: 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email: Homepage: Education …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 ...Instagram:https://instagram. craigslist labor gigs dallas txaac softball tournamentwest virginia kansas basketballwhy are nigerians so strong 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. From: Shuanglin Shao Sun, 31 Aug 2008 20:47:08 UTC (26 KB) Thu, 9 Oct 2008 20:24:02 UTC (27 KB) Wed, 14 Jan 2009 14:45:30 UTC (27 KB) Tue, 24 Feb 2009 16:07:51 UTC (27 KB) [v5] Tue, 10 Mar 2009 00:17:13 UTC (27 KB) Full-text links: Download: Download a PDF of the paper titled The linear profile decomposition for … ku libraries databasesoutlook meeting room Home About Select to follow link Department of Mathematics History (1866-1970) Employment to paraphrase is to The adjoint Fourier restriction inequality of Tomas and Stein states that the mapping f↦fσ̂ is bounded from L2(S2) to L4(ℝ3). We prove that there exist functions that extremize this inequality, and that any extremizing sequence of nonnegative functions has a subsequence that converges to an extremizer.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 ...