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Instantaneous regularisation via Harnack-type methods for a degenerate non-local equation

Schulz, Simon M.
arXiv (All) · Papers
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We prove an instantaneous smoothing effect for a degenerate non-local evolution equation (originally derived as the many-particle limit of a system of active Brownian particles). The underlying mechanism is that, by deriving a Harnack-type inequality for an averaged quantity, we are able to show tha
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