Quach V. Chuong, Le C. Nhan, Le X. Truong
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.
Submitted September 4, 2021. Published July 5, 2022.
Math Subject Classifications: 35B35, 35B40, 35K57, 35Q92, 92C17.
Key Words: Fourth-order parabolic equation; potential well method;
global solution; variable exponents.
Show me the PDF file (386 KB), TEX file for this article.
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Quach V. Chuong Faculty of Mathematics and Computer Science University of Science Ho Chi Minh City, Vietnam email: quachuong1812@dnpu.edu.vn |
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Le C. Nhan Faculty of Applied Sciences Ho Chi Minh City University of Technology and Education (UTE) Ho Chi Minh City, Vietnam email: nhanlc@hcmute.edu.vn |
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Le X. Truong Department of Mathematics Univerisity of Economics Ho Chi Minh city (UEH) Ho Chi Minh city, Vietnam email: lxuantruong@ueh.edu.vn |
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