126 citations · 387 across the 34 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AP2022★ 1 cited
Global existence for quasilinear wave equations satisfying the null condition
Michael Facci, Jason Metcalfe
We explore the global existence of solutions to systems of quasilinear wave equations satisfying the null condition when the initial data are sufficiently small. We adapt an approa…
math.AP2022
On a System of Weakly Null Semilinear Equations
Jason Metcalfe, Alexander Stewart
We develop a new method for addressing certain weakly null systems of wave equations. This approach does not rely on Lorentz invariance nor on the use of null foliations, both of w…
math.AP2022
Long-time existence for systems of quasilinear wave equations
Jason Metcalfe, Taylor Rhoads
We consider quasilinear wave equations in -dimensions where the nonlinearity is permitted to depend on the solution rather than just its derivatives. For scalar…