Global Solutions and Stability Properties of the 5th Order Gardner Equation
- 주제(키워드) Breather , Global well-posedness , Higher order Gardner equation , Integrability , Stability
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Springer
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000204129
- 본문언어 영어
- Published As https://doi.org/10.1007/s10884-021-10022-4
초록/요약
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.
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