15 citations · 45 across the 14 of their papers we have counts for
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math.AP2006
Global existence of null-form wave equations in exterior domains
Jason Metcalfe, Christopher D. Sogge
We provide a proof of global existence of solutions to quasilinear wave equations satisfying the null condition in certain exterior domains. In particular, our proof does not requi…
math.AP2006
Elastic waves in exterior domains, Part II: Global existence with a null structure
Jason Metcalfe, Becca Thomases
In this article, we prove that solutions to a problem in nonlinear elasticity corresponding to small initial displacements exist globally in the exterior of a nontrapping obstacle.…