Existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources
Date
2022-07-05
Authors
Chuong, Quach V.
Nhan, Le C.
Truong, Le Xuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources and arbitrary initial energy. We also study the asymptotic behavior of weak solutions. Our results extend some recent results of Han [11] to PDEs with variable exponent sources.
Description
Keywords
Fourth-order parabolic equation, Potential well method, Global solution, Variable exponents
Citation
Chuong, Q. V., Nhan, L. C., & Truong, L. X. (2022). Existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources. <i>Electronic Journal of Differential Equations, 2022</i>(46), pp. 1-22.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.