| File |
Sharp asymptotic behavior of solutions to Benjamin-Ono type equations—short range case
596 KB
エンバーゴ :
2023-05-14
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| Title |
Sharp asymptotic behavior of solutions to Benjamin-Ono type equations—short range case
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| Creator |
Kita Naoyasu
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| Source Title |
Elsevier Journal of Mathematical Analysis and Applications
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| Volume | 497 |
| Issue | 2 |
| Journal Identifire |
ISSN 0022-247X
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| Descriptions |
This paper studies the large time behavior of a small solution to the generalized Benjamin-Ono equation with a short range nonlinearity, i.e., with the power of nonlinearity greater than 3. In this case, it is well-known that the solution is asymptotically free as . We are interested in the asymptotic expansion of the solution, and determine the second asymptotic term. In order to specify the second asymptotic term, we will apply a technique of Fourier series expansion.
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| Subjects |
Benjamin-Ono type equations
Large time behavior
Asymptotic expansion
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier Inc.
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| Date of Issued | 2021-05-15 |
| Publish Type | Accepted Manuscript |
| Access Rights | open access |
| Relation |
[DOI] 10.1016/j.jmaa.2020.124879
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