EXISTENCE AND UNIQUENESS OF SOLUTIONS TO AN AGGREGATION EQUATION WITH DEGENERATE DIFFUSION

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO AN AGGREGATION EQUATION WITH DEGENERATE DIFFUSION

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by Andrea L. Bertozzi , Dejan , Slep Čev

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@MISC{Bertozzi_existenceand,
    author = {Andrea L. Bertozzi and Dejan and Slep Čev},
    title = {EXISTENCE AND UNIQUENESS OF SOLUTIONS TO AN AGGREGATION EQUATION WITH DEGENERATE DIFFUSION},
    year = {}
}

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Abstract

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.

Citations

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