Local existence of solutions for an aggregation equation in Besov spaces
Volume 125 / 2011
Colloquium Mathematicum 125 (2011), 183-192
MSC: 35A01, 35A02, 35L60.
DOI: 10.4064/cm125-2-4
Abstract
We prove the local in time existence of solutions for an aggregation equation in Besov spaces. The Fourier localization technique and Littlewood–Paley theory are the main tools used in the proof.