This paper is concerned with a class of semilinear hyperbolic equations with singular
potentials on the manifolds with conical singularities, which was introduced to describe a …

We study the L 1→ L∞-decay estimates for the Klein-Gordon equation in the Aharonov-
Bohm magnetic fields, and further prove Strichartz estimates for the Klein-Gordon equation …

In this paper we study the dispersive properties of a two dimensional massless Dirac
equation perturbed by an Aharonov--Bohm magnetic field. Our main results will be a family …

We study the pointwise decay estimates for the Schr\" odinger and wave equations on a
product cone $(X, g) $, where the metric $ g= dr^ 2+ r^ 2 h $ and $ X= C (Y)=(0,\infty)\times Y …

We consider the focusing energy critical nonlinear Schrödinger equation (NLS) with
inverse square potential in dimension d=3,4,5 with the details given in d=3 and remarks on …

We consider the Cauchy problem of the focusing energy-critical nonlinear Schrödinger
equation with an inverse square potential. We prove that if any radial solution obeys the …

We study the uniform resolvent estimates for Schrödinger operator with a Hardy-type
singular potential. Let LV=− Δ+ V (x) where Δ is the usual Laplacian on R n and V (x)= V 0 …

In this paper, we prove Strichartz estimates for the $(k, a) $-generalized Laguerre operators
$ a^{-1}(-| x|^{2-a}\Delta_k+| x|^ a) $ which were introduced by Ben Sa\"{\i} d-Kobayashi-{\0} …

We consider the initial value problem of the energy critical nonlinear Schrödinger equation
with an inverse square potential in dimension d= 4, 5, 6. In the focusing case, we achieve …

In this paper, we study Strichartz estimates for the Schr\" odinger equation on a metric cone
$ X $, where $ X= C (Y)=(0,\infty) _r\times Y $ and the cross section $ Y $ is a $(n-1) …