55 citations · 196 across the 26 of their papers we have counts for
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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…
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…