Enviar artigo por via de e-mail On the Bateman–Hörmander Solution of the Wave Equation Having a Singularity at a Running Point
- Autores: Blagoveshchensky A.S.1, Tagirdzhanov A.M.1,2, Kiselev A.P.3,4
-
Afiliações:
- St. Petersburg State University
- St. Petersburg Electrotechnical University
- St. Petersburg Department of the Steklov Mathematical Institute
- Institute of Mechanical Engineering RAS
- Edição: Volume 243, Nº 5 (2019)
- Páginas: 682-688
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/243138
- DOI: https://doi.org/10.1007/s10958-019-04569-3
- ID: 243138
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
Hörmander has presented a remarkable example of a solution of the homogeneous wave equation, which has a singularity at a running point. An analytic investigation of this solution is performed for the case of three spatial variables. The support of this solution is described, its behavior near the singular point is studied, and its local integrability is established. It is observed that the Hörmander solution is a specialization of a solution found by Bateman five decades in advance.
Sobre autores
A. Blagoveshchensky
St. Petersburg State University
Autor responsável pela correspondência
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg
A. Tagirdzhanov
St. Petersburg State University; St. Petersburg Electrotechnical University
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg; St. Petersburg
A. Kiselev
St. Petersburg Department of the Steklov Mathematical Institute; Institute of Mechanical Engineering RAS
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg; St. Petersburg
Arquivos suplementares
