Geodesic
Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term
Applications of Mathematics, Tome 66 (2021) no. 4, pp. 583-597.

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The Cauchy problem of the Cahn-Hilliard equation with inertial term in multi space dimension is considered. Based on detailed analysis of Green's function, using fixed-point theorem, we get the global existence in time of classical solution with large initial data. Furthermore, we get $L_p$ decay rate of the solution.
DOI : 10.21136/AM.2021.0180-19
Classification : 35M11
Keywords: Cahn-Hilliard equation with inertial term; large initial data; classical solution; $L_p$ decay 
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Xu, Hongmei; Li, Qi. Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term. Applications of Mathematics, Tome 66 (2021) no. 4, pp. 583-597. doi : 10.21136/AM.2021.0180-19. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0180-19/

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