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. 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 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, SIP. …André Martinez, Thierry Ramond and Johannes Sjöstrand: Global existence and uniqueness results for weak solutions of the focusing mass-critical nonlinear Schrödinger equationWe prove scattering for the defocusing fourth-order Schrödinger equation in low spatial dimensions (1 ⩽ n ⩽ 4). Inspired by the method in (Pausader 2010 Indiana Univ. Math. J. 59 791–822), we utilize a strategy from Kenig and Merle (2006 Invent. Math. 166 645–75) to compensate for the absence of a Morawetz-type estimate, then we use a new virial-type ingredient to finish the proof.Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MF: 10:00 -- 11:00 AM, or by appointment. MiscellaneousNarasaraopeta village is located in Narasaraopet Tehsil of Guntur district in Andhra Pradesh, India. It is situated 45km away from district headquarter Narasaraopet. Narasaraopet is the sub-district headquarter of Narasaraopeta village. The total geographical area of village is 818 hectares. Narasaraopeta has a total population of 5,409 peoples ...Shuanglin Shao Regularity of solutions to the Schrodinger equation: Nov. 29: Zubin Gautam The Balian-Low Theorem and a variant: Raanan Schul: Tristan Roy Poincaré inequalities: Dec. 6: Zubin Gautam The Balian-Low Theorem and a variant: Shuanglin Shao: Tristan Roy Poincaré inequalities: Schedule from Spring 2005 :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) Department of Mathematics. 138 Cardwell Hall. 1228 N Martin Luther King Jr Drive, Manhattan, KS 66506 . 785-532-6750 | 785-532-0546 fax | math ...AIMS Journals; {{journal.titleEn}} {{journal.titleEn}} {{journal.titleEn}} {{journal.titleEn}}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 ...Aug 12, 2022 · 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 ... 10 oct 2015 ... Shuanglin Shao's user avatar. Shuanglin ShaoShuanglin Shao. 111 bronze badge. Add a comment |. You must log in to answer this question. Not the ...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 ...... shao lin stock pictures, royalty-free photos & images · lian shan shuang lin ...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 ... MathSciNet Ph.D. University of California, Los Angeles 2008 Dissertation: Restriction Estimates for Paraboloids and Cones in the Cylindrically Symmetric Case Mathematics …21 mar 2023 ... Party Secretary, Chairman Shao Yuhui and his party visited EDRI ... Add：Chengdu country shuanglin road 251 Fax：028-84333172 Postcode：610021.Associate Professor, Acting Associate Chair and Director of Undergraduate Studies, Spring 2024Course Search. Search class sections | Online courses. Library SearchShuanglin 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 works in harmonic analysis and partial differential equations. He is interested in establishing the profile decomposition result for the Airy equation, and the …See the complete profile on LinkedIn and discover Shuanglin’s connections and jobs at similar companies. View Shuanglin Shao’s profile on LinkedIn, the world’s largest …Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, SIP. …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'DellShuanglin 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 ShaoPosted 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 (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: 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 ...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….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 a nalysis & pde msp volume 9 no. 2 2016 jin-cheng jiang and shuanglin shao on characterization of the sharp strichartz inequality for the schrÖdinger equationPosted by: Shuanglin Shao | September 18, 2020 Measure and Integration theory, Lecture 7. Let be a real valued measurable function. Let .Shuanglin Shao Department of Mathematics, KU Snow Hall 615 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Phone: (785)864-4762 Fax: (785)864-5255 Email: [email protected] Shuanglin Shao. Mathematics. 2009; In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all …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)864-476223 mar 2015 ... Erbo Shi, Jiajun Liu, Chunmei Liu, Ying Shao, Hanghang Wang ... Shuanglin Qin, Linbin Yao, Yunhao Luo, Tongtong Liu, Jiayuan Xu, Yue ...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.Shuanglin Shao Regularity of solutions to the Schrodinger equation: Nov. 29: Zubin Gautam The Balian-Low Theorem and a variant: Raanan Schul: Tristan Roy Poincaré inequalities: Dec. 6: Zubin Gautam The Balian-Low Theorem and a variant: Shuanglin Shao: Tristan Roy Poincaré inequalities: Schedule from Spring 2005 :Cite this article. Shuanglin Shao, Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric case.Rev. Mat. Iberoam. 25 (2009), no. 3, pp. 1127–1168Shuanglin 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.JIN-CHENG JIANG AND SHUANGLIN SHAO Abstract. Inthis paper, we studythe extremal problem for the Strichartz inequality for the Schr¨odinger equation on the R×R2. We show that the solutions to the associated Euler-Lagrange equation are exponentially decaying in the Fourier space and thus can be extended to be complex analytic. 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 …Shuanglin Shao. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...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. 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 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... 1 ago 2023 ... Shuanglin Shao (KU). Department of Mathematics · 138 Cardwell Hall · 1228 N Martin Luther King Jr Drive, Manhattan, KS 66506 · 785-532-6750 | ...a nalysis & pde msp volume 9 no. 2 2016 jin-cheng jiang and shuanglin shao on characterization of the sharp strichartz inequality for the schrÖdinger equationMathSciNet Ph.D. University of California, Los Angeles 2008 Dissertation: Restriction Estimates for Paraboloids and Cones in the Cylindrically Symmetric Case Mathematics …23 mar 2015 ... Erbo Shi, Jiajun Liu, Chunmei Liu, Ying Shao, Hanghang Wang ... Shuanglin Qin, Linbin Yao, Yunhao Luo, Tongtong Liu, Jiayuan Xu, Yue ...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. We prove that the extremizers to the Tomas-Stein inequality for the one dimension sphere are smooth. This is achieved by studying the associated Euler-Lagrange equation. Comments: 11 pages. We rewrite some of the introduction part and correct Lemma 3.2 and proposition 3.6.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 SchrÃ¶dinger equation. Dates at IAS Lemma 3.15. (Vitali type covering lemma. ) Let be a collection of open balls in , and let .If , there exist disjoint such that . Proof. The set is open, then for there exists a compact set such that . Since is compact, there exists finitely many balls such that .Let be the collection of the balls. Choose that has the largest radius. Let be the collection of …Math 810, Measure theory and integration, Lecture 2. In this lecture, we study how we define measures given a algebra on and then move to study its properties. A measure is a set function, namely, a function acting on sets. Here the sets belong to a given algebra. For instance, the “length” on enables us to measuring open or closed ...Shuanglin Shao. Anal. PDE 2(1): 83-117 (2009). DOI: 10.2140/apde.2009.2.83. ABOUT FIRST PAGE CITED BY REFERENCES DOWNLOAD PAPER SAVE TO MY LIBRARY Abstract. We establish the linear profile decomposition for the Airy equation with complex or real initial data in L 2. As an application, we obtain a dichotomy result on the existence of …Oct 12, 2022 · 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 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 AND HSI-WEI SHIH Abstract. We consider the We prove that there exists an extremal function to the Airy–St Shuanglin Shao 2, 1. Department of Mathematics, National Tsing Hua University, Hsinchu 30013 2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, SIP. …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 ... We establish the linear profile decompos 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 ... 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