We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am31-3-4,
author = {Masashi Misawa},
title = {Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems},
journal = {Applicationes Mathematicae},
volume = {31},
year = {2004},
pages = {287-302},
zbl = {1058.35128},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-3-4}
}
Masashi Misawa. Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems. Applicationes Mathematicae, Tome 31 (2004) pp. 287-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-3-4/