论文标题
关于双曲线边界价值问题解决方案的急剧规律性
On the sharp regularity of solutions to hyperbolic boundary value problems
论文作者
论文摘要
我们证明了经典一阶双曲初始边界值问题的解决方案的一些鲜明的规律性结果。我们对现有垃圾的两个主要改进是边界数据的规律性假设和分数Sobolev空间的规律性较弱。当规则性指数属于1/2 + N时，这一点非常有趣，因为它涉及非本地兼容条件。
We prove some sharp regularity results for solutions of classical first order hyperbolic initial boundary value problems. Our two main improvements on the existing litterature are weaker regularity assumptions for the boundary data and regularity in fractional Sobolev spaces. This last point is specially interesting when the regularity index belongs to 1/2 + N, as it involves nonlocal compatibility conditions.
