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.

中文翻译：

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带吸收系数的四阶抛物方程解的复杂渐近行为

在本文中，我们考虑了四阶抛物方程的解和该方程在吸收下的解之间的关系。我们利用这些关系研究了解的渐近行为，发现该方程在具有吸收性的解中可能发生复杂的渐近行为。