Periodic solutions of a multi-dimensional Cahn-Hilliard equation

dc.contributor.authorLiu, Ji
dc.contributor.authorWang, Yifu
dc.contributor.authorZheng, Jiashan
dc.date.accessioned2023-06-12T17:46:17Z
dc.date.available2023-06-12T17:46:17Z
dc.date.issued2016-01-29
dc.description.abstractThis 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.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, J., Wang, Y., & Zheng, J. (2016). Periodic solutions of a multi-dimensional Cahn-Hilliard equation. <i>Electronic Journal of Differential Equations, 2016</i>(42), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16916
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPeriodic solutions
dc.subjectCahn-Hilliard equation
dc.subjectViscosity approach
dc.subjectSchauder fixed point theorem
dc.titlePeriodic solutions of a multi-dimensional Cahn-Hilliard equation
dc.typeArticle

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