论文标题
具有非恒定刚度的allen-cahn方程的固定溶液的稳定性
Stability of the stationary solutions of the Allen-Cahn equation with non-constant stiffness
论文作者
论文摘要
我们研究了从Landau Energy功能中推导的广义Allen-CAHN方程的溶液，并具有非恒定的高阶刚度。我们假设刚度是该场的正功能，我们讨论了固定溶液的稳定性，证明了线性和局部非线性稳定性。
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.
