论文标题
线性抛物线方程有强边界变性
Linear Parabolic Equations with Strong Boundary Degeneration
论文作者
论文摘要
作为在较早论文中开发的非障碍riemannian歧管上线性抛物线差分方程理论的应用，我们证明了欧几里得空间中不均匀抛物线的边界价值问题的最大规律定理。我们结果的新特征是，除了获得最佳解决方案理论外，我们考虑了退化仅在正常方向上发生的“自然”情况。
As an application of the theory of linear parabolic differential equations on noncompact Riemannian manifolds, developed in earlier papers, we prove a maximal regularity theorem for nonuniformly parabolic boundary value problems in Euclidean spaces. The new feature of our result is the fact that, besides of obtaining an optimal solution theory, we consider the `natural' case where the degeneration occurs only in the normal direction.
