论文标题
恢复由线性二阶术语扰动的加权p拉普拉斯的系数
Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term
论文作者
论文摘要
本文考虑了方程$ \ nabla \ cdot(σ\ nabla u+a | \ nabla u |^{p-2} \ nabla u)= 0 $的反向边界值问题。在适当的规律性和椭圆度假设下,我们给出了从相应的Dirichlet到Neumann地图中恢复系数$σ$和$ a $的程序。
This paper considers the inverse boundary value problem for the equation $\nabla\cdot(σ\nabla u+a|\nabla u|^{p-2}\nabla u)=0$. We give a procedure for the recovery of the coefficients $σ$ and $a$ from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.