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

出处： arXiv 2022

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 Riemannian ...

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 ...

作者： Ben-Artzi, Jonathan;Cacciafesta, Federico;de Suzzoni, Anne Sophie;Zhang, Junyong （¹School of Mathematics, Cardiff University, Senghennydd Road, Wales, Cardiff, CF24 4AG, United Kingdom;²Dipartimento di Matematica, Universitá Degli Studi di Padova, Via Trieste, 63, Padova, 35131, Italy;³Cmls, École Polytechnique, Cnrs, Université Paris- Saclay, PALAISEAU Cedex, 91128, France;⁴Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Forum of Mathematics, Sigma 2022 Vol.10

摘要： In this paper, we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension. In particular, we ...

作者： Cacciafesta, Federico¹;Séré, éric²;Zhang, Junyong³; （¹Dipartimento di Matematica, Universitá degli studi di Padova, Padova, Italy;²CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, PSL Research University, Paris, France;³Department of Mathematics, Beijing Institute of Technology, Beijing, China）

出处： Springer INdAM Series 2022 Vol.52 P127-139

摘要： We review some recent results on the dispersive estimates for the massless Dirac–Coulomb equation in 3D. © 2022, The Author(s), under exclusive licens ...

作者： Cacciafesta, Federico¹;Sere, Eric²;Zhang, Junyong³

出处： International Workshop on Qualitative Properties of Dispersive PDEs Rome, ITALY 2021

会议录： Vol.52 127-139

摘要： We review some recent results on the dispersive estimates for the massless Dirac- Coulomb equation in 3D.

作者： Cacciafesta, Federico;Séré, Éric;Zhang, Junyong （¹Dipartimento di Matematica, Universitá degli studi di Padova, Via Trieste, 63, PD, Padova; 35131, Italy;²CEREMADE, UMR, CNRS 7534, Université Paris-Dauphine, PSL Research University, Pl. de Lattre de Tassigny, Cedex 16, Paris; 75775, France;³Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2021

摘要： In this paper we prove some uniform asymptotic estimates for confluent hypergeometric functions making use of the steepest-descent method. As an appli ...

作者： Miao, Changxing¹;Zhang, Junyong^2,3,4;Zheng, Jiqiang²; （¹Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P.O. Box 8009, China;²The Graduate School of China Academy of Engineering Physics, Beijing, 100088, P.O. Box 2101, China;³Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;⁴Beijing Computational Science Research, Beijing 100084, China）

出处： Proc. Amer. Math. Soc. 2012 Vol.140 No.6 P2091-2102

摘要： This paper is devoted to the study of the restriction problem in harmonic analysis. Based on the spherical harmonics expansion and analyzing the asymp ...

作者： Luca Fanelli;Junyong Zhang;Jiqiang Zheng （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： International Mathematics Research Notices

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

作者： Federico Cacciafesta;Éric Séré;Junyong Zhang （¹a Dipartimento di Matematica, Universitá degli studi di Padova, Padova, Italy;²b CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, PSL Research University, Paris Cedex 16, France;³c Department of Mathematics, Beijing Institute of Technology, Beijing, China）

出处： Communications in Partial Differential Equations

关键词： Dirac-Coulomb equation;Strichartz estimates;steepest discent method

摘要： In this paper we prove some uniform asymptotic estimates for confluent hypergeometric functions making use of the steepest-descent method. As an appli ...