Open AccessExistence and uniqueness of solutions to an aggregation equation with degenerate diffusion
Author(s) -
Andrea L. Bertozzi,
Dejan Slepčev
Publication year - 2010
Publication title -
communications on pure andamp applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2010.9.1617
Subject(s) - uniqueness , degenerate energy levels , mathematical analysis , mathematics , diffusion , diffusion equation , physics , thermodynamics , economics , quantum mechanics , economy , service (business)
CEV‡ Abstract. We present an energy-methods-based proof of the existence and unique- ness of solutions of a nonlocal aggregation equation with degenerate diusion. The equation we study is relevant to models of biological aggregation.
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