@Article{ATA-33-29,
author = {A. Aberqi, J. Bennouna and H. Redwane},
title = {Entropy Unilateral Solution for Some Noncoercive Nonlinear Parabolic Problems via a Sequence of Penalized Equations},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {33},
number = {1},
pages = {29--45},
abstract = {<p style="text-align: justify;">We give an existence result of the obstacle parabolic equations $$\frac{\partial b(x,u)}{\partial t} -div(a(x,t,u,\nabla u))+div(\phi(x,t,u)) =f\quad \text{in}\ \ Q_T,$$ where $b(x,u)$ is bounded function of $u$, the term $- {\rm div}(a(x,t,u,\nabla u))$ is a Leray-Lions type operator and the function $\phi$ is a nonlinear lower order and satisfy only the growth condition. The second term $f$ &nbsp;belongs to $L^{1}(Q_T)$. The proof of an existence solution is based on the penalization methods.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2017.v33.n1.4},
url = {http://global-sci.org/intro/article_detail/ata/4614.html}
}