Some isometrical identities in the wave equation

Saburou Saitoh

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-14

Abstract:

We consider the usual wave equation u t t ( x , t ) = c 2 u x x ( x , t ) on the real line with some typical initial and boundary conditions. In each case, we establish a natural isometrical identity and inverse formula between the sourse function and the response function.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:473498

DOI: 10.1155/S0161171284000132

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