71 citations · 267 across the 38 of their papers we have counts for
8 papers · 2 filters
Small data global existence and decay for relativistic Chern-Simons equations
Myeongju Chae, Sung-Jin Oh
We establish a general small data global existence and decay theorem for Chern-Simons theories with a general gauge group, coupled with a massive relativistic field of spin 0 or 1/…
The Cauchy problem for wave maps on hyperbolic space in dimensions
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
We establish global well-posedness and scattering for wave maps from -dimensional hyperbolic space into Riemannian manifolds of bounded geometry for initial data that is small i…
Equivariant Wave Maps on the Hyperbolic Plane with Large Energy
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
In this paper we continue the analysis of equivariant wave maps from 2-dimensional hyperbolic space into surfaces of revolution that was initiated in [13, 14]. When the target is t…
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation
Sung-Jin Oh, Daniel Tataru
This article constitutes the final and main part of a three-paper sequence, whose goal is to prove global well-posedness and scattering of the energy critical Maxwell-Klein-Gordon…
Energy dispersed solutions for the (4+1)-dimensional Maxwell-Klein-Gordon equation
Sung-Jin Oh, Daniel Tataru
This article is devoted to the mass-less energy critical Maxwell-Klein-Gordon system in 4+1 dimensions. In earlier work of the second author, joint with Krieger and Sterbenz, we ha…
Local well-posedness of the (4+1)-dimensional Maxwell-Klein-Gordon equation at energy regularity
Sung-Jin Oh, Daniel Tataru
This paper is the first part of a trilogy dedicated to a proof of global well-posedness and scattering of the (4+1)-dimensional mass-less Maxwell-Klein-Gordon equation (MKG) for an…
A refined threshold theorem for (1+2)-dimensional wave maps into surfaces
Andrew Lawrie, Sung-Jin Oh
The recently established threshold theorem for energy critical wave maps states that wave maps with energy less than that of the ground state (i.e., a minimal energy nontrivial har…
Gap Eigenvalues and Asymptotic Dynamics of Geometric Wave Equations on Hyperbolic Space
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
In this paper we study -equivariant wave maps from the hyperbolic plane into the -sphere as well as the energy critical equivariant Yang-Mills problem on -dimensio…