Periodic solutions of a multi-dimensional Cahn-Hilliard equation
dc.contributor.author | Liu, Ji | |
dc.contributor.author | Wang, Yifu | |
dc.contributor.author | Zheng, Jiashan | |
dc.date.accessioned | 2023-06-12T17:46:17Z | |
dc.date.available | 2023-06-12T17:46:17Z | |
dc.date.issued | 2016-01-29 | |
dc.description.abstract | This article concerns a multi-dimensional Cahn-Hilliard equation subject to Neumann boundary condition. We show existence of the periodic solutions by using the viscosity approach. By applying the Schauder fixed point theorem, we show existence of the solutions to the suitable approximate problem and then obtain the solutions of the considered periodic problem using a priori estimates. Our results extend those in [20]. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 23 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Liu, J., Wang, Y., & Zheng, J. (2016). Periodic solutions of a multi-dimensional Cahn-Hilliard equation. Electronic Journal of Differential Equations, 2016(42), pp. 1-23. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16916 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Periodic solutions | |
dc.subject | Cahn-Hilliard equation | |
dc.subject | Viscosity approach | |
dc.subject | Schauder fixed point theorem | |
dc.title | Periodic solutions of a multi-dimensional Cahn-Hilliard equation | |
dc.type | Article |