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Publication 09-CNA-04

Existence and Uniqueness of Solutions to an Aggregation Equation With Degenerate Diffusion

Andrea L. Bertozzi
Department of Mathematics, UCLA
bertozzi@math.ucla.edu

Dejan Slepčev
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Abstract: 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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