2 citations · 2 across the 5 of their papers we have counts for
5 papers
Multi-localized time-symmetric initial data for the Einstein vacuum equations
John Anderson, Justin Corvino, Federico Pasqualotto
We construct a class of time-symmetric initial data sets for the Einstein vacuum equation modeling elementary configurations of multiple ``almost isolated" systems. Each such initi…
Global stability for nonlinear wave equations satisfying a generalized null condition
John Anderson, Samuel Zbarsky
We prove global stability for a system of nonlinear wave equations satisfying a generalized null condition. The generalized null condition allows for null forms whose coefficients…
Global stability for a nonlinear system of anisotropic wave equations
John Anderson
In this paper, we initiate the study of global stability for anisotropic systems of quasilinear wave equations. Equations of this kind arise naturally in the study of crystal optic…
Stability and instability of traveling wave solutions to nonlinear wave equations
John Anderson, Samuel Zbarsky
In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which a…
Global stability for nonlinear wave equations with multi-localized initial data
John Anderson, Federico Pasqualotto
In this paper, we initiate the study of the global stability of nonlinear wave equations with initial data that are not required to be localized around a single point. More precise…