An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

被引：21

作者：

Hintz, Peter ^{[1
]}

Uhlmann, Gunther ^{[2
,3
]}

Zhai, Jian ^{[3
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

[3] Hong Kong Univ Sci & Technol, Inst Adv Study, Kowloon, Hong Kong, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 17期

关键词：

ELLIPTIC-EQUATIONS; RECONSTRUCTION;

D O I：

10.1093/imrn/rnab088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：13181 / 13211

页数：31

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