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math.AP2005
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…
math.AP2004
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…