On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929456635969536 |
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| author | Hong, Christian Ponce, Gustavo |
| author_facet | Hong, Christian Ponce, Gustavo |
| contents | This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approximation to the Korteweg-de Vries equation in the description of unidirectional propagation of long waves. Our goal here is to study unique continuation and regularity properties on solutions to the associated initial value problem and initial periodic boundary value problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01578 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation Hong, Christian Ponce, Gustavo Analysis of PDEs 35B65, 35Q35, 76B15 This work is concerned with the Benjamin-Bona-Mahony equation. This model was deduced as an approximation to the Korteweg-de Vries equation in the description of unidirectional propagation of long waves. Our goal here is to study unique continuation and regularity properties on solutions to the associated initial value problem and initial periodic boundary value problems. |
| title | On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation |
| topic | Analysis of PDEs 35B65, 35Q35, 76B15 |
| url | https://arxiv.org/abs/2311.01578 |