General boundary conditions for the Kawahara equation on bounded intervals
This article is concerned with initial boundary value problems for the Kawahara equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of a global regular solution and exponential decay as t approaches infinty.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/159/abstr.html |
| _version_ | 1811318247678541824 |
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| author | Nikolai A. Larkin Marcio H. Simoes |
| author_facet | Nikolai A. Larkin Marcio H. Simoes |
| author_sort | Nikolai A. Larkin |
| collection | DOAJ |
| description | This article is concerned with initial boundary value problems for the Kawahara equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of a global regular solution and exponential decay as t approaches infinty. |
| first_indexed | 2024-04-13T12:22:28Z |
| format | Article |
| id | doaj.art-8063446cfe2141498cd9f6389e1e5dba |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T12:22:28Z |
| publishDate | 2013-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8063446cfe2141498cd9f6389e1e5dba2022-12-22T02:47:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013159,121General boundary conditions for the Kawahara equation on bounded intervalsNikolai A. LarkinMarcio H. SimoesThis article is concerned with initial boundary value problems for the Kawahara equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of a global regular solution and exponential decay as t approaches infinty.http://ejde.math.txstate.edu/Volumes/2013/159/abstr.htmlKawahara equationglobal solutiondecay of solutions |
| spellingShingle | Nikolai A. Larkin Marcio H. Simoes General boundary conditions for the Kawahara equation on bounded intervals Electronic Journal of Differential Equations Kawahara equation global solution decay of solutions |
| title | General boundary conditions for the Kawahara equation on bounded intervals |
| title_full | General boundary conditions for the Kawahara equation on bounded intervals |
| title_fullStr | General boundary conditions for the Kawahara equation on bounded intervals |
| title_full_unstemmed | General boundary conditions for the Kawahara equation on bounded intervals |
| title_short | General boundary conditions for the Kawahara equation on bounded intervals |
| title_sort | general boundary conditions for the kawahara equation on bounded intervals |
| topic | Kawahara equation global solution decay of solutions |
| url | http://ejde.math.txstate.edu/Volumes/2013/159/abstr.html |
| work_keys_str_mv | AT nikolaialarkin generalboundaryconditionsforthekawaharaequationonboundedintervals AT marciohsimoes generalboundaryconditionsforthekawaharaequationonboundedintervals |