关于双曲型方程移动边界的确定
On the determination of Moving Boundaries for Hyperbolic Equations
摘要:
我们考虑区域中的波动方程与时间相关的边界(移动障碍物)包含在一个固定的圆柱的所有时间。我们给出了充分条件,确定移动边界的柯西数据的部分边界的圆柱。我们还研究了有关的问题的可达性的移动边界的类时曲线从边界的圆柱。
英文摘要:
We consider wave equations in domains with time-dependent boundaries (moving obstacles) contained in a fixed cylinder for all time. We give sufficient conditions for the determination of the moving boundary from the Cauchy data on part of the boundary of the cylinder. We also study the related problem of accessibility of the moving boundary by time-like curves from the boundary of the cylinder.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。