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Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation

Changchun Liu*, Aibo Liu and Hui Tang

Author Affiliations

Department of Mathematics, Jilin University, Changchun, 130012, China

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Boundary Value Problems 2013, 2013:73  doi:10.1186/1687-2770-2013-73

Published: 4 April 2013


We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point theorem, we prove the existence of time-periodic solutions.

MSC: 35B10, 35K55, 35K65.

sixth-order Cahn-Hilliard equation; time-periodic solution; existence; Campanato space