| Автор | Govanni Alessandrini |
| Автор | John Sylvester |
| Автор | Sun, Z. |
| Дата выпуска | 1990 |
| dc.description | We consider the eigenvalue problem in Ω Where Ω is a bounded domain in R<sup>d</sup> with smooth boundary,a nd q is a bounded, measurable function on Ω The eigenvalue problem has discrete spectrum; we denote by and a nondecreasing sequence of eigenvalue and corresponding (orthonormal) eigenfunctions. It is known ([N–S–U]) that knowledge of the eigenvalues and the boundary values of the normal derivatives of the corresponding eigenfunctions is sufficient to uniquely determine a coefficient, q. |
| Формат | application.pdf |
| Издатель | Marcel Dekker, Inc. |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Stability For a Multidimensional Inverse Spectral Theorem |
| Тип | research-article |
| DOI | 10.1080/03605309908820705 |
| Electronic ISSN | 1532-4133 |
| Print ISSN | 0360-5302 |
| Журнал | Communications in Partial Differential Equations |
| Том | 15 |
| Первая страница | 711 |
| Последняя страница | 736 |
| Аффилиация | Govanni Alessandrini, ; Dipartimento di Matematica "Vito Volterra", Facolta' di Ingegneria Universita' di Ancona |
| Аффилиация | John Sylvester, ; Mathematics Department GN–50, University of Wasington |
| Аффилиация | Sun, Z.; Mathematics Department GN–50, University of Wasington |
| Выпуск | 5 |
| Библиографическая ссылка | Alessandrini, G. 1988. Stable determination of conductivity by boundary measurements. Applicable Anal., 27: 153–172. |
| Библиографическая ссылка | Courant, R. and Hilbert, D. 1953. Methods of Mathematical Physics, Vol. I, New York: Interscience. |
| Библиографическая ссылка | Gilbarg, D. and Trudinger, N. S. 1983. Elliptic Partial Differential Equations of Second Order, Berlin: Springer Verlag. |
| Библиографическая ссылка | Louis, A. K. and Natterer, F. 1983. Mathematical Problems of Computerized Tomography. Proceedings of the IEEE, 71(3): 379–389. |
| Библиографическая ссылка | Nachman, A., Sylvester, J. and Uhlmann, G. 1988. Ann–dimensional Borg–Levinson theorem. Commun. Math. Phys., 115(3): 525–605. |
| Библиографическая ссылка | Rakesh. 1988. Uniqueness for an inverse problem for the wave equation. Comm. Partial Differential Equations, 13(2): 87–96. |
