E. M. E. Zayed, "Hearing the shape of membranes: further results", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 646870, 8 pages, 1990. https://doi.org/10.1155/S0161171290000825
Hearing the shape of membranes: further results
The spectral function , where are the eigenvalues of the Laplacian in , or , is studied for a variety of domains. Particular attention is given to circular and spherical domains with the impedance boundary conditions on (or ), where and , are parts of the boundaries of these domains respectively, while , are positive constants.
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