15 citations · 23 across the 8 of their papers we have counts for
3 papers · 2 filters
Nonlinear hyperbolic equations in infinite homogeneous waveguides
Jason Metcalfe, Christopher D. Sogge, Ann Stewart
In this paper we prove global and almost global existence theorems for nonlinear wave equations with quadratic nonlinearities in infinite homogeneous waveguides. We can handle both…
Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge
In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for…
Global existence for Dirichlet-wave equations with quadratic nonlinearties in high dimensions
Jason Metcalfe, Christopher D. Sogge
We prove global existence of solutions to quasilinear wave equations with quadratic nonlinearities exterior to nontrapping obstacles in spatial dimensions four and higher. This gen…