Abstract We study the solutions of a generalized Allen–Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We assume the stiffness to be a positive function of the field and we discuss the stability of the stationary solutions proving both linear and local non-linear stability.

中文翻译：

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具有非常数刚度的 Allen-Cahn 方程的平稳解的稳定性

摘要 我们研究了从 Landau 能量泛函推导出的广义 Allen-Cahn 方程的解，该方程具有非常量的高阶刚度。我们假设刚度是场的正函数，我们讨论了证明线性和局部非线性稳定性的固定解的稳定性。