论文标题
关于各向异性Calderón问题的评论
Remarks on the anisotropic Calderón problem
论文作者
论文摘要
我们显示了横向各向异性歧管上所述的各向异性calderón问题的独特性结果。此外,我们在零电位附近的一般riemannian歧管上的dirichlet到neumann地图范围给出了凸度结果。最后,我们提出了与一般riemannian歧管上半连接椭圆方程相关的Calderón类型的反问题。
We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on general Riemannian manifolds near the zero potential. Finally, we present results for Calderón type inverse problems associated to semilinear elliptic equations on general Riemannian manifolds.