Singularities and the wave equation on conic spaces

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Let $X$ be a manifold with boundary, endowed with a metric with conic singularities at the boundary components of $X$. Let $u$ be a solution to the wave equation on $\mathbb{R} \times X$. When a singularity of $u$ strikes a cone point of $X$, it undergoes a mixture of diffractive spreading and geometric propagation.
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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/60116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010129
 http://arxiv.org/abs/math/0010129

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arXiv