Existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources
| dc.contributor.author | Chuong, Quach V. | |
| dc.contributor.author | Nhan, Le C. | |
| dc.contributor.author | Truong, Le Xuan | |
| dc.date.accessioned | 2023-04-18T15:02:23Z | |
| dc.date.available | 2023-04-18T15:02:23Z | |
| dc.date.issued | 2022-07-05 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. Electronic Journal of Differential Equations, 2022(46), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16605 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fourth-order parabolic equation | |
| dc.subject | Potential well method | |
| dc.subject | Global solution | |
| dc.subject | Variable exponents | |
| dc.title | Existence and nonexistence of global solutions to the Cahn-Hilliard equation with variable exponent sources | |
| dc.type | Article |