15 citations · 22 across the 7 of their papers we have counts for
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math.AP2002★ 15 cited
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…
math.AP2002★ 3 cited
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…