LOCAL WELL-POSEDNESS OF THE FIFTH-ORDER KDV-TYPE EQUATIONS ON THE HALF-LINE
- 주제(키워드) Fifth-order KdV-type equations , initial-boundary value problem , local well-posedness
- 주제(기타) Mathematics, Applied
- 주제(기타) Mathematics
- 설명문(일반) [Cavalcante, Marcio] Univ Fed Alagoas, Inst Matemat, Av Lourival Melo Mota S-N Tabuleiro Martins, Maceio, Alagoas, Brazil; [Kwak, Chulkwang] Pontificia Univ Catolica Chile, Fac Matemat, Campus San Joaquin,Avda Vicuna Mackenna 4860, Santiago, Chile; [Kwak, Chulkwang] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju, Jeollabuk Do, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행년도 2019
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000171984
- 본문언어 영어
- Published As https://dx.doi.org/10.3934/cpaa.2019117
초록/요약
This paper is a continuation of authors' previous work [6]. We extend the argument [6] to fifth-order KdV-type equations with different non-linearities, in specific, where the scaling argument does not hold. We establish the X-s,X-b nonlinear estimates for b < 1/2, which is almost optimal compared to the standard X-s,X-b nonlinear estimates for b > 1/2 [8, 17]. As an immediate conclusion, we prove the local well-posedness of the initial-boundary value problem (IBVP) for fifth-order KdV-type equations on the right half-line and the left half-line.
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