Bi-space Global Attractors for a Class of Nonclassical Parabolic Equations with Arbitrary Polynomial Growth in Unbounded Domain

作者：Li, Jia-lin; Zhang, Fang-hong^*

来源：Mediterranean Journal of Mathematics, 2016, 13(4): 1807-1821.

DOI：10.1007/s00009-015-0617-0

• Nonclassical diffusion equations
• global attractor
• absorbing set
• unbounded domain

In this article, we consider the dynamical behavior of the nonclassical diffusion equation in unbounded domain while the nonlinearity satisfy the arbitrary order polynomial growth conditions. Using the tail-estimated method and the asymptotic a priori estimate method, we obtain the existence of -global attractor, -global attractor, -global attractor and -global attractor.

• 出版日期2016-8
• 单位海南大学