On Waves Generated by Sources Localized at Infinity


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Resumo

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.

Sobre autores

A. Blagoveshchensky

St. Petersburg State University; St. Petersburg Electrotechnical University

Autor responsável pela correspondência
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg; St. Petersburg

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