We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-1,
author = {A. Elmahi and D. Meskine},
title = {Parabolic initial-boundary value problems in Orlicz spaces},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {99-119},
zbl = {1102.35030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-1}
}
A. Elmahi; D. Meskine. Parabolic initial-boundary value problems in Orlicz spaces. Annales Polonici Mathematici, Tome 85 (2005) pp. 99-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-1/