Abstract
ABSTRACT We study the propagation of oscillating solutions for a semilinear dissipative Klein-Gordon equation, on a half space near the origin, when incident rays reach the boundary tangentially at this point. The solution u ϵ is then given (via a H 1-asymptotics) as a sum of two oscillating profiles. These incident and reflected profiles are uniquely determined by a mixed system of coupled transport equations. Moreover, they are supported in a smooth open domain in , which is delimited by glancing rays: This emphasizes the ‘shadow region’.
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