We study the inverse problem of recovering differential operators of the Orr -Sommerfeld type from the Weyl matrix. Properties of the Weyl matrix are investigated, and an uniqueness theorem for the solution of the inverse problem is proved.
An analogue of the Sommerfeld radiation condition for the Dirac operator
✍ Scribed by Vladislav V. Kravchenko; Raúl Castillo P.
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.377
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✦ Synopsis
Abstract
A simple radiation condition at infinity for time‐harmonic massive Dirac spinors is proposed. This condition allows an analogue of the Cauchy integral formula in unbounded domains for null‐solutions of the Dirac equation to be proved. The result is obtained with the aid of methods of quaternionic analysis. Copyright © 2002 John Wiley & Sons, Ltd.
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