Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
Andrea L. Bertozzi - Department of Mathematics, UCLA, Los Angeles, CA, 90095, United States (email)
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.
Keywords: Aggregation, nonlocal interaction.
Received: October 2009; Revised: May 2010; Available Online: August 2010.
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