| Title:
|
On the radius of spatial analyticity for the higher order nonlinear dispersive equation (English) |
| Author:
|
Boukarou, Aissa |
| Author:
|
Guerbati, Kaddour |
| Author:
|
Zennir, Khaled |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
19-32 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data $u_{0}$. The analytic initial data can be extended as holomorphic functions in a strip around the $x$-axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019). (English) |
| Keyword:
|
higher order nonlinear dispersive equation |
| Keyword:
|
radius of spatial analyticity |
| Keyword:
|
approximate conservation law |
| MSC:
|
35B65 |
| MSC:
|
35C07 |
| MSC:
|
35E15 |
| MSC:
|
35Q53 |
| idZBL:
|
Zbl 07547239 |
| idMR:
|
MR4387466 |
| DOI:
|
10.21136/MB.2021.0096-20 |
| . |
| Date available:
|
2022-04-17T18:07:01Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149596 |
| . |
| Reference:
|
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| Reference:
|
[2] Boukarou, A., Guerbati, K., Zennir, K., Alodhaibi, S., Alkhalaf, S.: Well-posedness and time regularity for a system of modified Korteweg-de Vries-type equations in analytic Gevrey spaces.Mathematics 8 (2020), Article ID 809, 16 pages. 10.3390/math8050809 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
