Email this article On Waves Generated by Sources Localized at Infinity
- Authors: Blagoveshchensky A.S.1,2
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Affiliations:
- St. Petersburg State University
- St. Petersburg Electrotechnical University
- Issue: Vol 243, No 5 (2019)
- Pages: 671-681
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243137
- DOI: https://doi.org/10.1007/s10958-019-04568-4
- ID: 243137
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Abstract
The space-time ℝ4 is compactified by adding the manifold of infinitely distant points. The problem of constructing a solution of the wave equation with the right-hand side (the source of waves), which is a generalized function with support on the manifold of infinitely distant points, is posed and solved. Strict necessary and sufficient conditions that the source must satisfy are stated.
About the authors
A. S. Blagoveshchensky
St. Petersburg State University; St. Petersburg Electrotechnical University
Author for correspondence.
Email: a.blagoveshchensky@spbu.ru
Russian Federation, St. Petersburg; St. Petersburg
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