Scattering Theory for Dissipative Hyperbolic Systems,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 08, 1973
- Accession Number
- AD0776131
Entities
People
- Peter D. Lax
- Ralph S. Phillips
Organizations
- Stanford University