Geodesic
Existence and uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion of general form
Sbornik. Mathematics, Tome 209 (2018) no. 2, pp. 206-221 Cet article a éte moissonné depuis la source Math-Net.Ru

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The uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion is proved using the method of energy estimates. The existence of a solution is proved by combining the methods of iterations and contraction maps with the use of energy estimates. The equations under consideration arise in models of biological aggregation. Bibliography: 23 titles.
Keywords: aggregation equation, uniqueness of a solution
Mots-clés : existence of a solution. 
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V. F. Vil'danova. Existence and uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion of general form. Sbornik. Mathematics, Tome 209 (2018) no. 2, pp. 206-221. http://geodesic.mathdoc.fr/item/SM_2018_209_2_a3/

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