5 citations · 5 across the 5 of their papers we have counts for
7 papers
Scattering in spacetime cones for the nonlinear Schrödinger equation
Andrew Hassell, Qiuye Jia, Xiaoxu Wu
We consider the nonlinear Schrödinger equation on , with a class of `mixed' nonlinearities that admit soliton solutions. We are interested in the long-time behavi…
Scattering for the focusing -critical nonlinear Schrödinger equation with large data
Qiuye Jia
In this article we prove that the solution to the focusing -critical nonlinear Schrödinger equation in dimension scatters outside finitely many arbitrarily small…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Asymptotics
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the less technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates
Andrew Hassell, Qiuye Jia, Ethan Sussman +1
This is the more technical half of a two-part work in which we introduce a robust microlocal framework for analyzing the non-relativistic limit of relativistic wave equations with…
The essential self-adjointness of the wave operator on radiative spacetimes
Qiuye Jia, Mikhail Molodyk, Ethan Sussman
We prove the essential self-adjointness of the d'Alembertian , allowing a larger class of spacetimes than previously considered, including those that arise from perturbi…
The topological pressure of trapped sets in Kerr-(de Sitter) spacetimes
Qiuye Jia
In this paper we prove that the topological pressure of dynamic systems with normally hyperbolic trapping is negative. In particular, this applies to the null geodesic flow in Kerr…
Interior analysis, stretched technique and bubbling geometries
Qiuye Jia, Hai Lin
We perform a detailed analysis of quarter BPS bubbling geometries with AdS asymptotics and their corresponding duality relations with their dual states in the quantum field theory…