A Finite-Energy Solution of the Wave EquationWhose Asymptotics at Infinity Is Not a Spherical Wave
For the wave equation with three spatial variables, we give a solution that has a finite energy integral but does not tend to a spherical wave at infinity.
Authors
- A. P. Kiselev (ORCID: https://orcid.org/0000-0002-4746-5652)
- A. B. Plachenov (ORCID: https://orcid.org/0000-0002-1982-4662)
Institutions
- St. Petersburg Department of Steklov Institute of Mathematics (RU)
- Steklov Mathematical Institute (RU)
- MIREA - Russian Technological University (RU)
- Institute of Problems of Mechanical Engineering (RU)
Publication Details
- Journal
- Differential Equations
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s001226612460250x
- Citations
- 4
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.45