Miaomiao Yang, Yongqiang Fu
In this article we study the existence of weak solutions for quasilinear parabolic system in divergence form with variable growth. By means of Young measures, Galerkin's approximation method and the theory of variable exponents spaces, we obtain the existence of weak solutions.
Submitted November 16, 2017. Published May 10, 2018.
Math Subject Classifications: 35D30, 35K59, 46E35.
Key Words: Variable exponent; Young measures; weak solutions; quasilinear parabolic system; Galerkin's approximation.
Show me the PDF file (285 KB), TEX file for this article.
| Miaomiao Yang |
School of Science
Qilu Institute of Technology
Jinan 250001, China
| Yongqiang Fu |
Department of Mathematics
Harbin Institute of Technology
Harbin 150001, China
Return to the EJDE web page