Carnegie Mellon University
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Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion

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posted on 2009-09-01, 00:00 authored by Andrea L. Bertozzi, Dejan SlepcevDejan Slepcev

We present an energy-methods-based proof of the existence and uniqueness of solutions of a nonlocal aggregation equation with degenerate diffusion. The equation we study is relevant to models of biological aggregation.

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Copyright American Institute of Mathematical Science

Date

2009-09-01

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    Aggregationnonlocal interaction

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