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Explicit formula of
radiation fields of free waves with applications on channel
of energy
Liang Li, Ruipeng Shen and Lijuan Wei |
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Vol. 17 (2024), No. 2, 723–748
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Abstract |
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We give a few explicit formulas regarding the radiation fields of linear free waves. We then apply these formulas on the channel-of-energy theory. We characterize all the radial weakly nonradiative solutions in all dimensions and give a few new exterior energy estimates. |
Keywords
wave equation, radiation field, channel of energy
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Mathematical Subject Classification
Primary: 35L05
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Milestones
Received: 28 November 2021
Accepted: 11 August 2022
Published: 6 March 2024
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Authors |
| Liang Li | |
| Center for Applied Mathematics Tianjin University Tianjin China |
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| Ruipeng Shen | |
| Center for Applied Mathematics Tianjin University Tianjin China |
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| Lijuan Wei | |
| Center for Applied Mathematics Tianjin University Tianjin China |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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