Existence of weak solutions for quasilinear parabolic systems in divergence form with variable growth

Date

2018-05-10

Authors

Yang, Miaomiao
Fu, Yongqiang

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Variable exponent, Young measures, Weak solutions, Quasilinear parabolic system, Galerkin's approximation

Citation

Yang, M., & Fu, Y. (2018). Existence of weak solutions for quasilinear parabolic systems in divergence form with variable growth. <i>Electronic Journal of Differential Equations, 2018</i>(113), pp. 1-19.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License