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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 15
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Research Article

Asymptotic dynamics of a sixth-order integro-differential equation

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Pages 5537-5556 | Received 23 May 2020, Accepted 27 Feb 2021, Published online: 11 Mar 2021

References

  • Liu A, Liu C. Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term. Evol Equ Control Theory. 2015;4(3):315–324.
  • Pawłow I, Zajczkowski W. A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures. Commun Pure Appl Anal. 2011;10:1823–1847.
  • Liu C, Wang Z. Optimal control for a sixth order nonlinear parabolic equation. Math Methods Appl Sci. 2015;38(2):247–262.
  • Liu C, Wang Z. Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. Commun Pure Appl Anal. 2014;13(3):1087–1104.
  • Grasselli M, Wu H. Robust exponential attractors for the modified phase-field crystal equation. Discrete Contin Dyn Syst. 2015;35(6):2539–2564.
  • Liu C, Wang J. Some properties of solutions for a sixth order Cahn-Hilliard type equation with inertial term. Appl Anal. 2018;97(13):2332–2348.
  • Conti M, Giorgini A, Grasselli M. Phase-field crystal equation with memory. J Math Anal Appl. 2016;436(2):1297–1331.
  • Pazy A. Semigroups of linear operators and applications to partial differential equations. New York: Springer-Verlag; 1983.
  • Gatti S, Grasselli M, Miranville A, et al. Memory relaxation of first order evolution equations. Nonlinearity. 2005;18:1859–1883.
  • Belleri V, Pata V. Attractors for semilinear strongly damped wave equations on R3. Discrete Contin Dyn Syst. 2001;7:719–735.

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