2 citations · 4 across the 12 of their papers we have counts for
17 papers
Heat kernel estimate in a conical singular space
Xiaoqi Huang, Junyong Zhang
Let be a product cone with the metric , where and the cross section is a -dimensional closed Riemannian manifold $(Y,h…
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…
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…
Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones
Junyong Zhang
We construct the Schwartz kernel of resolvent and spectral measure for Schrödinger operators on the flat Euclidean cone , where $X=C(\mathbb{S}_σ^1)=(0,\infty)\times \mathbb…