Affiliation:
1. School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, P. R. China
Abstract
In this paper, we investigate the Cauchy problem for Cahn–Hilliard equation with inertial term in n-dimensional space. Based on the decay estimate of solutions to the corresponding linear equation, we define a solution space. Under small condition on the initial value, we prove the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces by the contraction mapping principle.
Publisher
World Scientific Pub Co Pte Lt
Cited by
12 articles.
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