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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-4, author = {Qian Zhang}, title = {Local existence of solutions for an aggregation equation in Besov spaces}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {183-192}, zbl = {1242.35165}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-4} }
Qian Zhang. Local existence of solutions for an aggregation equation in Besov spaces. Colloquium Mathematicae, Tome 122 (2011) pp. 183-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm125-2-4/