Accession Number : AD0776132

Title :   Scattering Theory for the Acoustic Equation in an Even Number of Space Dimensions,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Lax,P. D. ; Phillips,R. S.

Report Date : 27 JAN 1972

Pagination or Media Count : 37

Abstract : The paper extends the general theory of scattering developed by the authors for hyperbolic systems in an odd number of spacial dimensions to the even dimensional case. As before a key role is played by the incoming and outgoing subspaces and the corresponding translation representations - in this case the Radon transform. For the even dimensional case these two subspaces are no longer orthogonal. This eliminates from the previous theory the associated semigroup of operators which was so useful in characterizing the poles of the scattering matrix. (Modified author abstract)

Descriptors :   *Acoustics, *Wave equations, Scattering, Hilbert space, Partial differential equations, Theorems

Subject Categories : Theoretical Mathematics
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE