Geodesic
Existence of solutions to a parabolic $p(x)$-Laplace equation with convection term via $L^{\infty}$-infinity estimates
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K65, 35K55, 46E35
Keywords: parabolic $p(x)$-Laplace equation, convection term, de giorgi iteration, L-infinity estimates 
@article{EJDE_2015__2015__a31,
     author = {Li, Zhongqing and Yan, Baisheng and Gao, Wenjie},
     title = {Existence of solutions to a parabolic $p(x)${-Laplace} equation with convection term via $L^{\infty}$-infinity estimates},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a31/}
}
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Li, Zhongqing; Yan, Baisheng; Gao, Wenjie. Existence of solutions to a parabolic $p(x)$-Laplace equation with convection term via $L^{\infty}$-infinity estimates. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a31/