Some isometrical identities in the wave equation

We consider the usual wave equation utt(x,t)=c2uxx(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.

Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Author: Saburou Saitoh
Format: Article
Language:English
Published: Wiley 1984-01-01
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000132