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

Communications on Pure and Applied Analysis (2010) 9(6) 1617-1637
DOI: 10.3934/cpaa.2010.9.1617
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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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Bertozzi, A. L., & Slepčev, D. (2010). Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Communications on Pure and Applied Analysis, 9(6), 1617–1637. https://doi.org/10.3934/cpaa.2010.9.1617

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