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A Scattering Theory for Moving Obstacles *
| Content Provider | Scilit |
|---|---|
| Author | Cooper, Jeffery |
| Copyright Year | 2020 |
| Description | The scattering theory of Lax and Phillips [6] brings together several branches of analysis to elucidate the rich structure of scattering of waves by a fixed obstacle. In many interesting situations, however, the obstacle is not stationary, but vibrating, rotating or pulsating (see [10] for a lengthy list of references). These cases cannot be treated by the Lax-Phillips theory, primarily because the technique of separation of variables into time and space factors is no longer possible. In the last several years Walter Strauss and the author have developed a scattering theory which extends that of Lax and Phillips to include situations where the scattering obstacle is in motion. Our approach has been to reformulate as much as possible of the Lax-Phillips framework in completely time dependent language. In this way we were able to extend the theory, and at the same time clarify some of the basic ideas. Book Name: Functional Analysis, Holomorphy, and Approximation Theory |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003072577-2&type=chapterpdf |
| Ending Page | 19 |
| Page Count | 9 |
| Starting Page | 11 |
| DOI | 10.1201/9781003072577-2 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-12-22 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Functional Analysis, Holomorphy, and Approximation Theory History and Philosophy of Science Lax and Phillips Scattering Theory Brings Branches Rotating Reformulate |
| Content Type | Text |
| Resource Type | Chapter |
