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Keywords:
Cahn-Hilliard equation with inertial term; large initial data; classical solution; $L_p$ decay
Cahn-Hilliard equation with inertial term; large initial data; classical solution; $L_p$ decay
Summary:
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.
References:
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