CAUCHY PROBLEM FOR A SIXTH ORDER CAHN-HILLIARD TYPE EQUATION WITH INERTIAL TERM

作者：Liu, Aibo^*; Liu, Changchun

来源：Evolution Equations and Control Theory, 2015, 4(3): 315-324.

DOI：10.3934/eect.2015.4.315

• Sixth order Cahn-Hilliard
• existence
• optimal decay rate
• inertial term

In this paper, we consider the Cauchy problem of a sixth order Cahn-Hilliard equation with the inertial term,
ku(tt) + u(t) - Delta(3)u - Delta(-a(u) Delta u - a'(u)/2 vertical bar del(u)vertical bar(2) vertical bar del u vertical bar(2) f(u)) = 0.
Based on Green's function method together with energy estimates, we get the global existence and optimal decay rate of solutions.

• 出版日期2015-9
• 单位吉林大学