Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959540 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
In this paper, we consider the regularity of the weak solutions to a quasilinear parabolic systems which is a generalization of p-Laplacian of the typeutiâ(Aαi(âu))xα=fi(x,t,u,âu),i=1,â¦,N where the main part satisfies some ellipticity and fi satisfies certain growth conditions. We prove boundedness of the solutions and the gradients of solutions to the systems by the means of the energy estimates and a nonlinear iteration procedure of the Moser type in this paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cuiman Jia, Zhong Tan,