Shuanglin shao.

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 ...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 ...Shuanglin Shao Department of Mathematics, KU Snow Hall 615 Phone: Fax: 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email: Homepage: Education …Spring 2016, Math 766, Real Analysis Course Information. Course Coverage: This course is the second part of real analysis at the graduate level; the first part is Math 765.. It continues with the following topics from Chapters 7, 8, 10, 11: infinite series of functions, the Topology in the Euclidean spaces, Metric spaces, and Differentiability on

A necessary and sufficient condition on the precompactness of extremal sequences for one-dimensional $$\\alpha $$ α -Strichartz inequalities, equivalently $$\\alpha $$ α -Fourier extension estimates, is established based on the profile decomposition arguments. One of our main tools is an operator-convergence dislocation property consequence which …

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 ...

Shuanglin Shao: 306 Snow: Friday, 9/3/21: 10:00am: Graduate Student Probability Seminar Fundamentals of Continuous Stochastic Processes: Zoom ...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 (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 · 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 ...

Dec 10, 2021 · Shuanglin Shao: 306 Snow: Friday, 9/3/21: 10:00am: Graduate Student Probability Seminar Fundamentals of Continuous Stochastic Processes: Zoom ...

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

Shuanglin Shao [*] [[Shuanglin Shao (Ph.D. University of California, Los Angeles 2008)|​]] Paul Anthony Smith [*] [[Paul Anthony Smith (Ph.D. University ...Shuanglin was born in May 1, 1964 Shuanglin has 4 phone numbers Shuanglin has 3 relatives Shuanglin has 9 past addresses Shuanglin has 2 emails Shuanglin has 3 associates by phone number Shuanglin has 172 associates by address Shuanglin is married Shuanglin’s home type is Single Family Dwelling Unit The property where Shuanglin lives was built in 1999 Shuanglin has resided at the current ...Shuanglin 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 I would also like to thank Donghao Wang and Ruixiang Zhang for helpful discussion on Proposition 5.3. I would like to thank the anonymous referees for the thorough reading and for many writing suggestions that improved the presentation of this paper. I would like to also thank Susan Ruff and Shuanglin Shao for their writing advice.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. 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 ... 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….

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.Shuanglin Shao. Associate Professor; Contact Info. [email protected]. 785-864-4762. 627 Snow. Personal Links. Webpage Webpage; Research — Harmonic Analysis ...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¨oindgerShanxi Travel Guide. Shanxi (abbreviated as “Jin”) is an inland province in North China, which borders Heibei to the east, Shaanxi to the west, Henan to the south and Inner Mogolia to the north. Also, it lies west of Taihang Mountain and faces Lvliang Mountain, Yellow River in the south and Great Wall in the north.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.We 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. MiscellaneousJan 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

Shuanglin Shao's 18 research works with 438 citations and 859 reads, including: On one dimensional Quantum Zakharov system Shuanglin Shao's research while affiliated with …B. Pausader Shuanglin Shao. Mathematics. 2009; We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order …Recently, Christ and Shao [1], [2] have proved the existence of maximizers for the adjoint Fourier restriction inequality of Stein and Tomas [5] for the sphere: (1) where is the standard unit sphere equipped with its natural surface measure σ induced by the Lebesgue measure on . Here the Fourier transform of an integrable function f supported ...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 Department of Mathematics, KU Snow Hall 615 Phone: Fax: 1460 Jayhawk Blvd Lawrence, KS 66045-7594 Email: Homepage: Education …Shuanglin Shao's 18 research works with 438 citations and 859 reads, including: On one dimensional Quantum Zakharov system Shuanglin Shao's research while affiliated with …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 (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;

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 ...

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

We establish the linear profile decomposition for the Airy equation with complex or real initial data in L2. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality.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 IASWe establish the linear profile decomposition for the Airy equation with complex or real initial data in L2. As an application, we obtain a dichotomy result on the existence of maximizers for the symmetric Airy Strichartz inequality.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 (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 (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;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-Figure 1. Riesz diagram for theGk-symmetric restriction problem to S d−1. Estimates in the orange region follow from the Tomas–Stein inequality, estimates in the yellow region follow from Corollary 1.5, and in light of Theorem 1.3 no estimates are possible within the grey region. The possibility of estimates in the red region remains an open problem.Spring 2016, Math 766, Real Analysis Course Information. Course Coverage: This course is the second part of real analysis at the graduate level; the first part is Math 765.. It continues with the following topics from Chapters 7, 8, 10, 11: infinite series of functions, the Topology in the Euclidean spaces, Metric spaces, and Differentiability on

15 abr 2019 ... A remark on the two dimensional water wave problem with surface tension. Author links open overlay panel. Shuanglin Shao a , Hsi-Wei Shih b.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; 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 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.Instagram:https://instagram. ku football recruiting 2023what did the plateau tribes eatkansas rowingtulsa score basketball 4 ene 2021 ... Title:A remark on the Strichartz inequality in one dimension. Authors:Ryan Frier, Shuanglin Shao. Download a PDF of the paper titled A remark ...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 ... arch certificateslovely nails durham nc 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 ... geological services 2 ene 2009 ... 2009(2009), No. 03, pp. 1-13. Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrodinger equation. Shuanglin Shao.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 ...