@article{Traoré_2021, title={Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents}, volume={23}, url={https://cubo.ufro.cl/ojs/index.php/cubo/article/view/2850}, DOI={10.4067/S0719-06462021000300385}, abstractNote={<div class="page" title="Page 1"> <div class="section"> <div class="layoutArea"> <div class="column"> <p>In this paper we prove the existence and uniqueness of an entropy solution for a non-linear parabolic equation with homogeneous Neumann boundary condition and initial data in \(L^1\). By a time discretization technique we analyze the existence, uniqueness and stability questions. The functional setting involves Lebesgue and Sobolev spaces with variable exponents.</p> </div> </div> </div> </div>}, number={3}, journal={CUBO, A Mathematical Journal}, author={Traoré, U.}, year={2021}, month={Dec.}, pages={385–409} }