论文标题
在Lebesgue的熵解决方案的核心方程
On Lebesgue points of entropy solutions to the eikonal equation
论文作者
论文摘要
我们考虑在两个空间维度中的Eikonal方程$ | \ nabla U | = 1 $的熵解决方案。这些解决方案是由一类变异问题激励的，并且通常没有界定变化。尽管如此，它们还是与BV函数共享的几种优质属性：我们特别表明，非lebesgue点的集合至少具有1个。
We consider entropy solutions to the eikonal equation $|\nabla u|=1$ in two space dimensions. These solutions are motivated by a class of variational problems and fail in general to have bounded variation. Nevertheless they share with BV functions, several of their fine properties: we show in particular that the set of non-Lebesgue points has co-dimension at least one.
