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.

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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.

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