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Applied Math Seminar
On the intersection of subspaces of incoming and outgoing waves
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In the neighborhood of a boundary point, the solution of a first order symmetric homogenous hyperbolic system is conveniently decomposed into fundamental waves solution, which are readily classified as outgoing, incoming and stationary or tangential. Under broad hypothesis, we show that the spans of the outgoing and incoming waves have nontrivial intersection. Under these conditions, local, linear, perfectly nonreflecting boundary conditions are shown not to exist. Joined work with Michael Sever |