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An inverse problem for a generalized kinetic equation in semi-geodesic coordinates
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-07-01 , DOI: 10.1016/j.geomphys.2021.104318 İsmet Gölgeleyen
中文翻译:
半测地坐标下广义动力学方程的一个反问题
更新日期:2021-07-12
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-07-01 , DOI: 10.1016/j.geomphys.2021.104318 İsmet Gölgeleyen
The aim of this article is to investigate the uniqueness of solution of an inverse source problem for a generalized kinetic equation on a Riemannian manifold. The problem is related with an integral geometry problem in semi-geodesic coordinates. We prove the uniqueness in a convex domain by the help of Riemannian coordinates.
中文翻译:
半测地坐标下广义动力学方程的一个反问题
本文的目的是研究黎曼流形上广义动力学方程的逆源问题解的唯一性。该问题与半测地坐标中的积分几何问题有关。我们借助黎曼坐标证明了凸域中的唯一性。