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Global Solutions and Stability Properties of the 5th Order Gardner Equation
- Title
- Global Solutions and Stability Properties of the 5th Order Gardner Equation
- Authors
- Alejo M.A.; Kwak C.
- Ewha Authors
- 곽철광
- SCOPUS Author ID
- 곽철광
- Issue Date
- 2023
- Journal Title
- Journal of Dynamics and Differential Equations
- ISSN
- 1040-7294
- Citation
- Journal of Dynamics and Differential Equations vol. 35, no. 1, pp. 575 - 621
- Keywords
- Breather; Global well-posedness; Higher order Gardner equation; Integrability; Stability
- Publisher
- Springer
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- In this work, we deal with the initial value problem of the 5th-order Gardner equation in R, presenting the local well-posedness result in H2(R). As a consequence of the local result, in addition to H2-energy conservation law, we are able to prove the global well-posedness result in H2(R). Finally as a direct application, we prove that some globally defined functions, e.g. breather solutions of 5th order Gardner equation, are H2(R) stable. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
- DOI
- 10.1007/s10884-021-10022-4
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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