14 citations · 107 across the 28 of their papers we have counts for
5 papers · 2 filters
Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials
Haruya Mizutani
The purpose of this note is to prove global-in-time smoothing effects for the Schrödinger equation with potentials exhibiting critical singularity. A typical example of admissible…
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications
Haruya Mizutani
We prove uniform Sobolev estimates for the resolvent of Schrödinger operators with large scaling-critical potentials without any repulsive condition. As applications, global-in-tim…
Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
Jean-Marc Bouclet, Haruya Mizutani
This paper deals with global dispersive properties of Schrödinger equations with real-valued potentials exhibiting critical singularities, where our class of potentials is more gen…
Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential
Haruya Mizutani
The purpose of this paper is to study the validity of global-in-time Strichartz estimates for the Schrödinger equation on , , with the negative inverse-square…
Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping
Jean-Marc Bouclet, Haruya Mizutani
We prove global Strichartz inequalities for the Schrödinger equation on a large class of asymptotically conical manifolds. Letting be the nonnegative Laplace operator and $ f…