Plane Waves, Bateman’s Solutions, and Sources at Infinity
- Autores: Blagoveshchensky A.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 214, Nº 3 (2016)
- Páginas: 260-267
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237376
- DOI: https://doi.org/10.1007/s10958-016-2775-4
- ID: 237376
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Resumo
For the three-dimensional wave equation, two equivalent statements are proved: (1) plane waves are not generated by a source at infinity; (2) Bateman’s solution (the solution that is obtained by application of the Kelvin–Bateman transformation to a plane wave) is a solution of the wave equation everywhere in ℝ4. Bibliography: 5 titles.
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Sobre autores
A. Blagoveshchensky
St. Petersburg State University
Autor responsável pela correspondência
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg