Global solution in a weak energy class for Klein-Gordon-Schrödinger system
Based on the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrödinger (KGS) system in one space dimension. The wellposedness is established in a class of Sobolev NLS solutions together with exponentially growing KG solutions.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-02-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022033?viewType=HTML |
| _version_ | 1798031132646703104 |
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| author | Qihong Shi Yaqian Jia Xunyang Wang |
| author_facet | Qihong Shi Yaqian Jia Xunyang Wang |
| author_sort | Qihong Shi |
| collection | DOAJ |
| description | Based on the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrödinger (KGS) system in one space dimension. The wellposedness is established in a class of Sobolev NLS solutions together with exponentially growing KG solutions. |
| first_indexed | 2024-04-11T19:52:36Z |
| format | Article |
| id | doaj.art-595dabb6897f41a598d7b9cb716029c6 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-11T19:52:36Z |
| publishDate | 2022-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-595dabb6897f41a598d7b9cb716029c62022-12-22T04:06:16ZengAIMS PressElectronic Research Archive2688-15942022-02-0130263364310.3934/era.2022033Global solution in a weak energy class for Klein-Gordon-Schrödinger systemQihong Shi 0Yaqian Jia1Xunyang Wang21. Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China1. Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China1. Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China 2. State Grid Gansu Electric Power Research Institute, Lanzhou 730070, ChinaBased on the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrödinger (KGS) system in one space dimension. The wellposedness is established in a class of Sobolev NLS solutions together with exponentially growing KG solutions.https://www.aimspress.com/article/doi/10.3934/era.2022033?viewType=HTMLkgs systemweak solutionglobal wellposednessenergy space |
| spellingShingle | Qihong Shi Yaqian Jia Xunyang Wang Global solution in a weak energy class for Klein-Gordon-Schrödinger system Electronic Research Archive kgs system weak solution global wellposedness energy space |
| title | Global solution in a weak energy class for Klein-Gordon-Schrödinger system |
| title_full | Global solution in a weak energy class for Klein-Gordon-Schrödinger system |
| title_fullStr | Global solution in a weak energy class for Klein-Gordon-Schrödinger system |
| title_full_unstemmed | Global solution in a weak energy class for Klein-Gordon-Schrödinger system |
| title_short | Global solution in a weak energy class for Klein-Gordon-Schrödinger system |
| title_sort | global solution in a weak energy class for klein gordon schrodinger system |
| topic | kgs system weak solution global wellposedness energy space |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022033?viewType=HTML |
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