We prove global-in-time Strichartz estimates without loss of derivatives for the solution of the
Schrödinger equation on a class of nontrapping asymptotically conic manifolds. We obtain …

Consider the metric cone X= C (Y)=(0, ∞) _r * YX= C (Y)=(0,∞) r× Y with metric g= dr^ 2+ r^
2h g= dr 2+ r 2 h where the cross section Y is a compact (n-1)(n-1)-dimensional Riemannian …

In the present paper we consider Schrödinger equations with variable coefficients and
potentials, where the principal part is a long-range perturbation of the flat Laplacian and …

We prove global Strichartz inequalities for the Schr\" odinger equation on a large class of
asymptotically conical manifolds. Letting $ P $ be the nonnegative Laplace operator and …

We study the Strichartz estimates for Schrödinger operator LV on metric cone X, where the
metric cone X= C (Y)=(0,∞) r× Y and the cross section Y is a compact (n− 1)-dimensional …

On a class of asymptotically conical manifolds, we prove two types of low frequency
estimates for the resolvent of the Laplace-Beltrami operator. The first result is a uniform L^ 2 …

This paper is concerned with Schrödinger equations with variable coefficients and
unbounded electromagnetic potentials, where the kinetic energy part is a long-range …

In this paper, we study some modified linear restriction estimates of the dynamics generated
by Schrödinger operator on metric cone M, where the metric cone M is of the form M=(0,∞) …

Smoothing (and decay) spacetime estimates are discussed for evolution groups of self-
adjoint operators in an abstract setting. The basic assumption is the existence (and weak …

We give examples of semiclassical Schrödinger operators with exponentially large cutoff
resolvent norms, even when the supports of the cutoff and potential are very far apart. The …