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On the heat flow on metric measure spaces: existence, uniqueness and stability

✍ Scribed by Nicola Gigli


Publisher
Springer
Year
2009
Tongue
English
Weight
257 KB
Volume
39
Category
Article
ISSN
0944-2669

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Jump processes and nonlinear fractional
✍ Jiaxin Hu; Martina ZΓ€hle πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 174 KB

## Abstract Jump processes on metric‐measure spaces are investigated by using heat kernels. It is shown that the heat kernel corresponding to a __Οƒ__ ‐stable type process decays at a polynomial rate rather than at an exponential rate as a Brownian motion. The domain of the Dirichlet form associated