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arXiv · 1206.0272

Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles

Farah Abou Shakra
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Abstract

Scattering for the energy critical non-linear 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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Farah Abou Shakra. 2013-05-15. Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles. https://arxiv.org/abs/1206.0272

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