特别副研究员

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杨建伟

个人简介


Personal Information

Name:  Jianwei Urbain Yang (杨建伟)

Born:  October 18, 1986, Tianjin, China

Email:  jw-urbain.yang@bit.edu.cn     

Institute:  School of Mathematics and Statistics,  BIT, 102400, China

Address: No.5, Zhongguancun South Street, Haidian District, Beijing, China

Researchgate: Jianwei Urbain Yang


Educational Background

► 09/2012--06/2015, PhD in Mathematics, The Graduate School of China Academy of Engineering Physics, Beijing. Supervisor: Prof. Miao Changxing, Major: mathematics

► 09/2009--06/2012, Master of Science, The Graduate School of China Academy of Engineering Physics, Beijing. Supervisor: Prof. Miao Changxing, Major: mathematics

► 09/2005--07/2009, Bachelor in Mathematics, Nankai University, Tianjin, China 


Working Experience

► 07/2018--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology

► 07/2015--06/2018, Post-doctor in Mathematics, Beijing International Center for Mathematical Research (BICMR), Peking University, Beijing. Supervisor: Prof. Gang Tian

► 01/2016--01/2017, Post-doctor in Mathematics, (LAGA) Laboratoire Analyse, Géométrie et Applications. Institut Galilée. Université Paris 13, Sorbonne Paris Cité. 99, avenue Jean-Baptiste Clément, 93430, France. Supervisor: Prof. Thomas Duyckaerts


Teachings

► 11/2019, Mini-cours: A primary introduction to spectral theory  

 LAGA. Université Paris 13, Sorbonne Paris Cité. 99, avenue Jean-Baptiste Clément, 93430, France. 

► 02/2020-06/2020, Theory of Functions of a Real Variable (实变函数) School of Mathematics and Statistics, Beijing Institute of Technology


Publications

Part-A. Nonlinear Dispersive equations

[1] T. Duyckaerts, J. Yang:  Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle. To appear in Annales de l'Institut Fourier. https://arxiv.org/abs/1910.00811

[2] T. Duyckaerts,  J. Yang: Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations. Analysis and PDE. Vol. 11 (2018), no. 4, 983-1028.

[3] C. Miao, G. Xu, J. Yang: Global well-posedness for the defocusing Hartree equation with radial data in R4. Commun. Contemp. Math. Vol.22 (2020), no. 2, 1950004. 

[4] C. Miao, J. Yang, T. Zhao: The global well-posedness and scattering for the 5-D defocusing conformal invariant NLW with radial initial data in a critical Besov space. Pacific J. Math. Vol. 305 (2020), no. 1, 251-290.  

[5] G. Xu, J. Yang: Long time dynamics of the 3D radial NLS with the combined terms.  Acta. Math. Sin. (Engl. Ser.) Vol. 32 (2016), no. 5, 521-540. 

[6] J. Yang: Nonlinear Schrödinger equations on compact Zoll manifolds with odd growth. Sci. China Math. 58 (2015), no. 5, 1023-1046.

[7] C. Gao, C. Miao, J. Yang: The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher. Anal. Theory. Appl. Vol. 35 (2019), no. 2. 205-234.

[8] J. Yang: Global existence for nonlinear system of wave equations in 3-D domains.  Appl. Math. (Warsaw) 38 (2011), no. 4, 435-452

Part-B. Harmonic Analysis and its application.

[1] C. Miao, C. D. Sogge, Y. Xi, J. Yang: Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces. Journal of Functional Analysis, 271 (2016), no. 10 , 2752-2775.

[2] C. Miao, J. Yang, J. Zheng: On local smoothing problems and Stein's maximal spherical means. Proceedings of the American Mathematical Society.  145 (2017), no. 10, 4269-4282.

[3] C. Miao, J. Yang, J. Zheng: An improved maximal inequality for 2D fractional order Schrödinger operators, Studia Math. 230 (2015), no. 2, 121-165.

[4] C. Miao, J. Yang, J. Zheng: On Wolff’s L5/2−Kakeya maximal inequality in R3Forum Math. 27 (2015), no. 5, 3053-3077

[5] C. Gao, C. Miao, J. Yang: Square function inequality for a class of Fourier integral operators satisfying cinematic curvature conditions.  Forum Math. 32(2020), no.6, 1375-1394. Published online:  16 Jul 2020 DOI:  https://doi.org/10.1515/forum-2020-0061


Visiting Positions

► 12/2018--11/2019, Chaire Internationale du Labex MME-DII:, (LAGA) Laboratoire Analyse, Géométrie et Applications. Institut Galilée. Université Paris 13, Sorbonne Paris Cité. 99, avenue Jean-Baptiste Clément, 93430, Villetaneuse, France.


Conference Talks and Invited Presentations

 

► 03/10/2020.『Scattering to a stationary solution for the energy supercritical wave equations outside an obstacle,调和分析及其应用会议(IV)(2020.10.2-- 2020.10.3) , 腾讯会议,北京师范大学。

► 30/06/2020.Blow-up, scattering and invariant manifolds: long-time dynamics of nonlinear wave equations of energy supercritical growth,  腾讯会议,河海大学。

► 13/06/2019.Concerning high-frequency solutions of the cubic nonlinear Schrödinger equations on a plane domain, Beihang University, Beijing,

► 05/06/2019.Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditions, International Workshop on Bourgain-Demeter Decoupling Method, Chern Institute of Mathematics, Nankai University, Tianjin, June 5th, 2019

► 09/04/2019.Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditionsSéminaire Équations aux Dérivées Partielles non-linéaires, LAGA, Institut Galilée, Université Paris 13

► 09/12/2018.Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equationsWorkshop on Analysis and Partial Differential Equations, Chinese Academy of Sciences, Beijing

► 05/12/2018.Concerning high-frequency solutions of the cubic nonlinear Schrödinger equations on a plane domainOne-day Conference on Analysis and PDEs, University of Electronic Science and Technology of China, Chengdu

► 27/10/2018.Improved local smoothing estimates of Fourier integral operators satisfying Carleson-Sjölin type conditionsOne-day Conference on Analysis and Partial Differential Equations, China Agricultural University, Beijing

► 05/2018-06/2018.Blowup of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equationsTianyuan Advanced Seminar on Harmonic analysis, Geometry and Partial Differential Equations, BICMR, Peking University, Beijing

► 11/2016.Bilinear Kakeya - Nikodym averages of eigenfunctions on compact Riemannian surfacesSéminaire Analyse Numérique - Équations aux Dérivées Partielles, Laboratoire Paul Painlevé, Université de Lille 1, France

► 03/2016.An improved maximal inequality for fractional order Schrödinger in R2Séminaire Équations aux Dérivées Partielles non-linéaires, LAGA, Institut Galilée, Université Paris 13, France

► 07/12/2015.Wolff’s L 5/2 (R3 ) - Kakeya maximal functions estimatePostdoc Seminar, Beijing International Center for Mathematical Research, Peking University, Beijing

► 06/2014.Wolff’s L 5/2 (R3 ) - Kakeya maximal functions estimateInternational Conference on Harmonic Analysis and Its Applications, Chern Institute of Mathematics, Nankai University, Tianjin.


Conference Organization

► 28/05/2019 Journée Nonlinear partial differential equations. Organizers:  Thomas Duyckaerts, Frank Merle, Jianwei Yang . (Labex MME-DII). Le mardi 28 mai à Cergy-Pontoise, France

► 14/09/2020. Zoom talk 15:00--16:00 Beijing Time, Thomas Duyckaerts, Soliton resolution for the energy-critical wave equation in odd space dimension-I, Organizer: Jianwei Yang

► 21/09/2020. Zoom talk 15:00--16:00 Beijing Time, Thomas Duyckaerts, Soliton resolution for the energy-critical wave equation in odd space dimension-II, Organizer: Jianwei Yang

► 23/11/2020. Zoom talk 16:00--17:30 Beijing Time, Thierry CAZENAVE, An overview of the nonlinear Schrödinger equation -I, Organizer: Jianwei Yang

► 25/11/2020. Zoom talk 16:30--18:00 Beijing Time, Thierry CAZENAVE, An overview of the nonlinear Schrödinger equation -II, Organizer: Jianwei Yang



Fundings

► 01/2020--12/2022, National Natural Science Foundation of China (NSFC) (Grant No. 11901032), Principal Investigator

Interests

Nonlinear dispersive equations(非线性色散方程),  Harmonic analysis(调和分析).