论文标题
部分边界规律性和谐波热流的规律性标准
A partial boundary regularity and a regularity criterion for Harmonic Heat flow
论文作者
论文摘要
在我的上一篇论文中，我以时间依赖性参数的形式考虑了金茨堡 - 兰道的热流，并通过使用它，将谐波热流构建为具有单调不平等和反向庞加莱不平等的球体。本文确定了边界附近的这两个能量不平等，然后通过尽力而为，我们讨论了部分边界的规律性。除此之外，我们还展示了整个域的规律性。这是由S.Hildebrandt和K.-O.Widman提出的。
In my previous paper I have contrived a Ginzburg-Landau heat flow with a time-dependent parameter and by using it, I constructed a harmonic heat flow into spheres with a monotonical inequality and a reverse Poincaré inequality. This paper establishes these two energy inequalities near the boundary and then by making the best of them, we discuss a partial boundary regularity. In addition to it, we demonstrate a whole domain's regularity under "the one-sided condition." This has been proposed by S.Hildebrandt and K.-O.Widman.
