55 citations · 196 across the 26 of their papers we have counts for
7 papers · 2 filters
Profile decompositions for wave equations on hyperbolic space with applications
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
The goal for this paper is twofold. Our first main objective is to develop Bahouri-Gerard type profile decompositions for waves on hyperbolic space. Recently, such profile decompos…
Channels of energy for the linear radial wave equation
Carlos Kenig, Andrew Lawrie, Baoping Liu +1
Exterior channel of energy estimates for the radial wave equation were first considered in three dimensions by Duyckaerts, the first author, and Merle, and recently for the 5-dimen…
Stable soliton resolution for exterior wave maps in all equivariance classes
Carlos Kenig, Andrew Lawrie, Baoping Liu +1
In this paper we consider finite energy, \ell-equivariant wave maps from 1+3-dimensional Minkowski space exterior to the unit ball at the origin into the 3-sphere. We impose a Diri…
Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
Benjamin Dodson, Andrew Lawrie
In this paper we study the focusing cubic wave equation in 1+5 dimensions with radial initial data as well as the one-equivariant wave maps equation in 1+3 dimensions with the mode…
Scattering for the radial 3d cubic wave equation
Benjamin Dodson, Andrew Lawrie
Consider the Cauchy problem for the radial cubic wave equation in 1+3 dimensions with either the focusing or defocusing sign. This problem is critical in $\dot{H}^{\frac{1}{2}} \ti…
Profiles for the radial focusing 4d energy-critical wave equation
Raphael Cote, Carlos E. Kenig, Andrew Lawrie +1
Consider a finite energy radial solution to the focusing energy critical semilinear wave equation in 1+4 dimensions. Assume that this solution exhibits type-II behavior, by which w…
Stability of stationary equivariant wave maps from the hyperbolic plane
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
In this paper we initiate the study of equivariant wave maps from 2d hyperbolic space into rotationally symmetric surfaces. This problem exhibits markedly different phenomena than…