@Article{JCM-7-3, author = {}, title = {The Wave Equation Approach to Robbin Inverse Problems for a Doubly-Connected Region: An Extension to Higher Dimensions}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {3}, pages = {301--312}, abstract = {
The spectral function $\hatμ(t)=\sum\limits_{j=1}^\infty e^{-itλ^{\frac{1}{2}}_j}$ where $\{λ_j\}^\infty_{j=1}$ are the eigenvalues of the three-dimensional Laplacian is studied for a variety of domains, where $- \infty<t<\infty$ and $i=\sqrt{-1}$. The dependence of $\hat{\mu}(t)$ on the connectivity of a domain and the impedance boundary condition (Robbin conditions) are analyzed. Particular attention is given to the spherical shell together with Robbin boundary conditions on its surface.
}, issn = {1991-7139}, doi = {https://doi.org/1989-JCM-9478}, url = {https://global-sci.com/article/86111/the-wave-equation-approach-to-robbin-inverse-problems-for-a-doubly-connected-region-an-extension-to-higher-dimensions} }