Existence of weak solutions for quasilinear parabolic systems in divergence form with variable growth
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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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.