The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-14, author = {Philippe Lauren\c cot}, title = {Steady states for a fragmentation equation with size diffusion}, journal = {Banach Center Publications}, volume = {65}, year = {2004}, pages = {211-219}, zbl = {1100.35111}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-14} }
Philippe Laurençot. Steady states for a fragmentation equation with size diffusion. Banach Center Publications, Tome 65 (2004) pp. 211-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-14/