32 citations · 233 across the 35 of their papers we have counts for
6 papers · 1 filter
Dispersive estimates for two-particles Schrödinger and wave equations in the Aharonov-Bohm field
Xiaofen Gao, Junyong Zhang, Jiqiang Zheng
We study the dispersive behaviors of two-particles Schrödinger and wave equations in the Aharonov-Bohm field. In particular, we prove the Strichartz estimates for Schrödinger and w…
Uniform resolvent estimates for critical magnetic Schrödinger operators in 2D
Luca Fanelli, Junyong Zhang, Jiqiang Zheng
We study the -type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving the Aharonov-Bohm model as a main example. As an…
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications
Yannick Sire, Christopher D. Sogge, Chengbo Wang +1
We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster estimates for spectral projectors proved p…
A toy model for the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Stephen Pankavich, Junyong Zhang
The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathemati…
Global Strichartz estimates for the Dirac equation on symmetric spaces
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
In this paper we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension . In particular, we prove estimates for th…
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications
Federico Cacciafesta, Éric Séré, Junyong Zhang
In this paper we prove some uniform asymptotic estimates for confluent hypergeometric functions making use of the steepest-descent method. As an application, we obtain Strichartz e…