4.7 Article

Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption

Journal

APPLIED MATHEMATICS LETTERS
Volume 120, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107278

Keywords

Fourth-order parabolic equation; Asymptotic behavior; Complexity

Funding

  1. NSFC, China [11771156]
  2. Natural Science Foundation Project of CQ, China [cstc2019jcyjmsxmX0381]
  3. Science and Technology Research Program of Chongqing Municipal Education Commission, China [KJZDM202001201, KJQN201901206]

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This paper considers the relationships between the solutions of a fourth-order parabolic equation and the solutions for this equation with absorption, and finds that the solutions of this equation with absorption can exhibit complicated asymptotic behaviors.
In this paper, we consider the relationships between the solutions of a fourth-order parabolic equation and the solutions for this equation with absorption. We use the relationships to study the asymptotic behavior of solutions and find that the complicated asymptotic behavior can happen in the solutions of this equation with absorption. (C) 2021 Elsevier Ltd. All rights reserved.

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