We consider the defocusing energy-critical nonlinear Schr\" odinger equation in the exterior
of a smooth compact strictly convex obstacle in three dimensions. For the initial-value …

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 this work, we establish precise local in time dispersive estimates for solutions of the model
case Dirichlet wave equation inside cylindrical convex domains $\Omega\subset\mathbb …

We consider the solution operator for the wave equation on the flat Euclidean cone over the
circle of radius, ρ> 0, the manifold \mathbbR_+*(\mathbbR/2πρ\mathbbZ) equipped with the …

We consider manifolds with conic singularities that are isometric to $\mathbb {R}^ n $
outside a compact set. Under natural geometric assumptions on the cone points, we prove …

In this article, we shall construct the resolvent of the Laplacian at high energies near the
spectrum on non-product conic manifolds with a single cone tip. Microlocally, the resolvent …

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 …

We study the L p→ L q-type uniform resolvent estimate for Laplace–Beltrami operator on the
flat Euclidean cone C (S σ 1)≜ R+×(R/2 π σ Z) equipped with the metric g (r, θ)= dr 2+ r 2 d θ …

We consider the defocusing energy-critical nonlinear Schr\" odinger equation in the exterior
of a smooth compact strictly convex obstacle in three dimensions. For the initial-value …