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- W2071512145 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’." @default.
- W2071512145 created "2016-06-24" @default.
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- W2071512145 date "2002-01-06" @default.
- W2071512145 modified "2023-10-01" @default.
- W2071512145 title "PROPAGATION OF OSCILLATIONS NEAR A DIFFRACTIVE POINT FOR A DISSIPATIVE AND SEMILINEAR KLEIN-GORDON EQUATION" @default.
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- W2071512145 doi "https://doi.org/10.1081/pde-120004891" @default.
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