论文标题
Lorentzian歧管上半线性波方程的逆边界值问题
An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
论文作者
论文摘要
我们考虑了与时间样边界的时间相关的Lorentzian歧管上的半线性波方程的逆边界值问题。非线性项的时间依赖性系数可以从诺伊曼到迪里奇映射的知识中恢复在内部。扭曲的平面波或高斯梁可用于得出唯一性。
We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the nonlinear terms can be recovered in the interior from the knowledge of the Neumann-to-Dirichlet map. Either distorted plane waves or Gaussian beams can be used to derive uniqueness.
