Singularities and the wave equation on conic spaces

Details Singularities and the wave equation on conic spaces Singularities and the wave equation on conic spaces

2000-10-12

arxiv.org/abs/math/0010129v1

Mathematics

Analysis of PDEs

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Scientific paper

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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