Accession Number : AD0776131

Title :   Scattering Theory for Dissipative Hyperbolic Systems,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Lax,Peter D. ; Phillips,Ralph S.

Report Date : 08 JUN 1973

Pagination or Media Count : 67

Abstract : An abstract theory of scattering is developed for dissipative hyperbolic systems; a typical example is the wave equation (u sub tt) = delta in an exterior domain with lossy boundary conditions: (u sub n) + alpha (u sub t) = O, alpha > or - O. In this theory as in an earlier one developed by the authors for conservative systems, a central role is played by two distinguished subspaces of data common to both the perturbed and the unperturbed problems; these are the incoming and outgoing subspaces. The scattering matrix is obtained and characterized in terms of generalized incoming and outgoing eigenfunctions. (Author)

Descriptors :   *Wave equations, Scattering, Matrices(Mathematics), Functional analysis, Theorems

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE