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Global existence and $L_{p}$ decay estimate of solution for Cahn-Hilliard equation with inertial term

Hongmei Xu; Qi Li — 2021

Applications of Mathematics

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.

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Global existence and L p decay estimate of solution for Cahn-Hilliard equation with inertial term

Global existence and $L_{p}$ decay estimate of solution for Cahn-Hilliard equation with inertial term