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/