Abstract
Scattering for the energy critical nonlinear wave equation for domains exterior to non-trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we extend the scattering for a class of non-star-shaped obstacles called illuminated from exterior. The main tool we use is the method of multipliers with weights that generalize the Morawetz multiplier to suit the geometry of the obstacle.
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