作者： Huang,Xiaoqi¹;Zhang,Junyong²; （¹Department of Mathematics, University of Maryland, College Park, 20742, MD, United States;²Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Journal of Geometric Analysis 2023 Vol.33 No.9

摘要： Let (X, g) be a product cone with the metric g= dr2+ r2h , where X= C(Y) = (0 , ∞) r× Y and the cross section Y is a (n- 1) -dimensional closed Rieman ...

作者： Wang, Haoran¹; Zhang, Fang¹; Zhang, Junyong¹ （¹Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2023

作者： Wang, Haoran¹; Zhang, Fang¹; Zhang, Junyong¹ （¹Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2023

作者： Fanelli,Luca¹;Zhang,Junyong²;Zheng,Jiqiang³; （¹Ikerbasque and Universidad Del País Vasco, Departamento de Matemáticas, Bilbao, Spain;²Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;³Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China）

出处： International Mathematics Research Notices 2023 Vol.2023 No.20 P17656-17703

摘要： We study the -type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving the Aharonov-Bohm model as ...

作者： Fanelli, Luca¹;Zhang, Junyong²;Zheng, Jiqiang³; （¹Ikerbasque and Universidad del País Vasco , Departamento de Matemáticas, Bilbao, Spain ²Department of Mathematics , Beijing Institute of Technology, Beijing 100081 ³Institute of Applied Physics and Computational Mathematics , Beijing 100088）

出处： IMRN: International Mathematics Research Notices 2023 Vol.2023 No.20 P17656-17703

摘要： We study the |$L^{p}-L^{q}$| -type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving the Aharono ...

作者： 苗长兴¹;，张军勇^2,3;，郑继强¹; （¹Institute of Applied Physics and Computational Mathematics；²Department of Mathematics,Beijing Institute of Technology；³Department of Mathematics,Cardiff University）

出处： Acta Mathematica Scientia(English Series) 2022 第42卷 第6期 P2230-2256

关键词： nonlinear；Schrödinger；equations；long；range；potential；global；well-posedness；blow-up；scattering

摘要： In this paper,we study the Cauchy problem for the nonlinear Schr?dinger equations with Coulomb potential i?_tu+Δu+K/|x|u=-λ|u|^p-1 ...

作者： Changxing MIAO，Junyong ZHANG，Jiqiang ZHENG （Institute of Applied Physics and Computational Mathematics，Beijing 100088，China；Department of Mathematics，Beijing Institute of Technology，Beijing 100081，China；Department of Mathematics，Cardiff University，UK）

出处： 数学物理学报(英文版) 2022 第42卷 第6期 P2230-2256

关键词： nonlinear；Schr?dinger；equations；long；range；potential；global；well-posedness；blow-up；scattering

摘要： In this paper,we study the Cauchy problem for the nonlinear Schr?dinger equa-tions with Coulomb potential i?tu+Δu+K/|x|u=λ|u|p-1u with 1＜p≤5 on R3.Our ...

作者： Gao, Xiaofen¹;Yin, Zhiqing¹;Zhang, Junyong¹;Zheng, Jiqiang²; （¹ Beijing Inst Technol, Dept Math, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 100081, Peoples R China. ;² Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China.）

出处： JOURNAL OF FUNCTIONAL ANALYSIS 2022 Vol.282 No.5

关键词： KLEIN-GORDON EQUATION; SCHRODINGER-OPERATORS; WAVE-EQUATION; MAGNETIC SCHRODINGER; HEAT KERNEL; POTENTIALS; RESOLVENT

摘要： We study the L-1 -> L-infinity-decay estimates for the Klein-Gordon equation in the Aharonov-Bohm magnetic fields, and further prove Strichartz estima ...

作者： Xiaofen Gao;Junyong Zhang;Jiqiang Zheng （¹Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China;²Department of Mathematics, Beijing Key Laboratory on Mathematical Characterization, Analysis, and Applications of Complex Information, Beijing Institute of Technology, 100081, Beijing, China;³Institute of Applied Physics and Computational Mathematics, 100088, Beijing, China）

出处： Journal of Fourier Analysis and Applications 2022 Vol.28 No.3 P44

关键词： Adjoint restriction estimates;Keel–Smith–Sogge estimate;Conical singular space;Inverse-square potential;Wave equation

摘要： We study the restriction estimates in a class of conical singular space X=C(Y)=(0, infty )_r times Y with the metric g= mathrm {d}r^2+r^2h, where the ...

作者： Fanelli, Luca;Zhang, Junyong;Zheng, Jiqiang （¹Ikerbasque, Universidad del País Vasco, Departamento de Matemáticas, Bilbao, Spain;²Department of Mathematics, Beijing Key Laboratory on Mathematical Characterization, Analysis, and Applications of Complex Information, Beijing Institute of Technology, Beijing, 100081, China;³Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China）

出处： Advances in Mathematics 2022 Vol.400

摘要： We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of ...