32 citations · 233 across the 35 of their papers we have counts for
6 papers · 1 filter
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…
Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields
Federico Cacciafesta, Zhiqing Yin, Junyong Zhang
We prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. Following a well established strategy to deal with scaling critica…
Strichartz estimates for the Klein-Gordon equation in a conical singular space
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
Consider a conical singular space with the metric , where the cross section is a compact -dimensional closed Riemanni…
Restriction estimates in a conical singular space: wave equation
Xiaofen Gao, Junyong Zhang, Jiqiang Zheng
We study the restriction estimates in a class of conical singular space with the metric , where the cross section is a compa…
Dispersive estimates for 2D-wave equations with critical potentials
Luca Fanelli, Junyong Zhang, Jiqiang Zheng
We study the 2D-wave equation with a scaling-critical electromagnetic potential. This problem is doubly critical, because of the scaling invariance of the model and the singulariti…
Decay and Strichartz estimates in critical electromagnetic fields
Xiaofen Gao, Zhiqing Yin, Junyong Zhang +1
We study the -decay estimates for dispersive equations in the Aharonov-Bohm magnetic fields, and further prove Strichartz estimates for the Klein-Gordon equation w…