Existence of solutions to a parabolic p(x)-Laplace equation with convection term via L-infinity estimates
Zhongqing Li, Baisheng Yan, Wenjie Gao · DOAJ (DOAJ: Directory of Open Access Journals) · 2015
This article is devoted to the study of the existence of weak solutions to an initial and boundary value problem for a parabolic p(x)-Laplace equation with convection term. Using the De Giorgi iteration technique, the authors establish the critical a priori L-infinity estimates and thus prove the existence of weak solutions.