论文标题
一般无界域中半连接抛物线问题的稳定性分析
Stability analysis for semilinear parabolic problems in general unbounded domains
论文作者
论文摘要
我们在斜类型的边界条件下，在一般无界域上的线性椭圆算子介绍了几个通用主特征值的概念。我们在半线性问题的稳定性分析中采用了这些概念。我们得出的某些属性即使在Dirichlet或在整个情况下也是新的。作为一种应用，我们显示了Fisher-KPP方程对一般，均匀平滑域的发触发效应的有效性。
We introduce several notions of generalised principal eigenvalue for a linear elliptic operator on a general unbounded domain, under boundary condition of the oblique derivative type. We employ these notions in the stability analysis of semilinear problems. Some of the properties we derive are new even in the Dirichlet or in the whole space cases. As an application, we show the validity of the hair-trigger effect for the Fisher-KPP equation on general, uniformly smooth domains.
