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Wellposedness and regularity of solutions of an aggregation equation
Author(s) -
Dong Li,
José L. Rodrigo
Publication year - 2010
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/601
Subject(s) - structural equation modeling , mathematics , chemistry , statistics
We consider an aggregation equation in R d , d 2 with fractional dissipation: ut +r (urK u) = u, where 0, 0 1, we prove global wellposedness and smoothing of solutions with general L 1 initial data.

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