15 citations · 20 across the 6 of their papers we have counts for
6 papers
Almost global existence for quasilinear wave equations in waveguides with Neumann boundary conditions
Jason Metcalfe, Ann Stewart
In this paper, we prove almost global existence of solutions to certain quasilinear wave equations with quadratic nonlinearities in infinite homogeneous waveguides with Neumann bou…
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…
Global existence for semilinear wave equations exterior to nontrapping obstacles
Jason Metcalfe
In this paper, we show global existence, in spatial dimensions greater than or equal to four, for semilinear wave equations with quadratic nonlinearities exterior to a nontrapping…
Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle
Jason Metcalfe
In this paper, we show that certain local Strichartz estimates for solutions of the wave equation exterior to a convex obstacle can be extended to estimates that are global in both…