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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CAHN–HILLIARD EQUATION WITH INERTIAL TERM

School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, P. R. China

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ZHIQIANG WEI

School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, P. R. China

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https://doi.org/10.1142/S0129167X12500875Cited by:8

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.

Keywords:

AMSC: 35L30, 35L75

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Vol. 23, No. 09

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History

Received 29 February 2012

Accepted 22 March 2012

Published: 30 June 2012

Keywords

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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CAHN–HILLIARD EQUATION WITH INERTIAL TERM

Abstract

References

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