Answer by Hadrian Quan for Heat kernel on Riemannian manifold
This bump function is not supported on an arbitrary neighborhood, but one very specific to the construction of $H(t,x,y)$. Rosenberg's argument proceeds by constructing the parametrix $H_k(t,x,y)$ in a...
View ArticleHeat kernel on Riemannian manifold
The idea to construct a heat kernel is first construct a parametric in a small neighbourhood. Then use a bump function to extend it. And do convolution iteratively. (Reference: Laplacian on a...
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