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Results tagged with heat-equation
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user 18850
7
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How to interpret heat kernel at unit time on a Riemann surface?
Let $M$ be a compact Riemann Surface. Let $P$ be a fixed point on $M$ and let $\delta_{P}$ be the Dirac point distribution at $M$. Consider the fundamental solution of the heat equation
$$
(\partial_{ …
- 6,249
2
votes
Gaussian upper heat kernel bounds on closed Riemannian manifolds
This is related to Li-Yau gradient estimates. I think the usual set up is for a complete manifold with $\textrm{Ric}(M)>-k$. You probably need some Harnark type inequalities for parabolic equations. I …
- 6,249