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

L. Bertozzi, Andrea; Slepcev, Dejan

doi:10.1184/R1/6477368.v1

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

<p>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.</p>

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URL - References http://dx.doi.org/10.3934/cpaa.2010.9.1617

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Copyright American Institute of Mathematical Science

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2009-09-01

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Aggregation nonlocal interaction Mathematical Sciences not elsewhere classified

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

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