Shuanglin shao

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..

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 ...Posted by: Shuanglin Shao | September 18, 2020 Measure and Integration theory, Lecture 7. Let be a real valued measurable function. Let .

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21 mar 2023 ... Party Secretary, Chairman Shao Yuhui and his party visited EDRI ... Add:Chengdu country shuanglin road 251 Fax:028-84333172 Postcode:610021.Shuanglin Shao Events from this organizer Today Upcoming November 2023 Fri 3 November 3 - November 4 19th Prairie Analysis Seminar Kansas State University, …Posted 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 ...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.

View shaik jilani's profile on LinkedIn, the world's largest professional community. shaik's education is listed on their profile. See the complete profile on LinkedIn and discover shaik's connections and jobs at similar companies.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 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 ... 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. Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: Monday, Wednesday, Friday: 10 --10:50 AM; 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 ...

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 …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 ... ….

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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 (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 ...

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 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. ViewShuanglin 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...

what is a speakers bureau 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 ... Shuanglin Hao, M.D., Ph.D. Professor, Anesthesiology Email: [email protected]. We investigate the neurochemical mechanisms of peripheral nervous system injury and neuropathic pain associated with HIV/AIDS. We also study opioid drug abuse and its interaction with HIV infection and HIV/AIDS neuropathy. non verbal deliveryploughshares into swords 5 jul 2021 ... CHANG Zhiqiao, XIN Jie, SHI Xin, HUANG Shuanglin, SHAO Jiani. Analysis on the development of core positioning parameters of GPS navigation ...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 … fairy spuds BENOIT PAUSADER AND SHUANGLIN SHAO Abstract. We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schro¨dinger equation in …Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MF: 10:00 -- 11:00 AM, or by appointment. Miscellaneous does papa john's take ebttech kansas gamekansas basketball game time 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 ... open now pizza delivery 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 ... kstate football radio live streampackgod comebackd fry Instructor: Shuanglin Shao Office: Snow Hall 615 Email: [email protected] Office Hour: MF: 10:00 -- 11:00 AM, or by appointment. MiscellaneousShuanglin 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, …