Remarks on the critical nonlinear high-order heat equation
The initial value problem for a semi-linear high-order heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2020-08-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.03.002/full/pdf |
| _version_ | 1797791613833969664 |
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| author | Tarek Saanouni |
| author_facet | Tarek Saanouni |
| author_sort | Tarek Saanouni |
| collection | DOAJ |
| description | The initial value problem for a semi-linear high-order heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method. |
| first_indexed | 2024-03-13T02:21:18Z |
| format | Article |
| id | doaj.art-b63540bb5e4a41089052b5162c1edf46 |
| institution | Directory Open Access Journal |
| issn | 1319-5166 2588-9214 |
| language | English |
| last_indexed | 2024-03-13T02:21:18Z |
| publishDate | 2020-08-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-b63540bb5e4a41089052b5162c1edf462023-06-30T09:27:54ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142020-08-01261/212715210.1016/j.ajmsc.2019.03.002Remarks on the critical nonlinear high-order heat equationTarek Saanouni0Qassim University, Buraidah, Saudi ArabiaThe initial value problem for a semi-linear high-order heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.03.002/full/pdfNonlinear high-order heat equationGlobal existenceDecayBlow-up |
| spellingShingle | Tarek Saanouni Remarks on the critical nonlinear high-order heat equation Arab Journal of Mathematical Sciences Nonlinear high-order heat equation Global existence Decay Blow-up |
| title | Remarks on the critical nonlinear high-order heat equation |
| title_full | Remarks on the critical nonlinear high-order heat equation |
| title_fullStr | Remarks on the critical nonlinear high-order heat equation |
| title_full_unstemmed | Remarks on the critical nonlinear high-order heat equation |
| title_short | Remarks on the critical nonlinear high-order heat equation |
| title_sort | remarks on the critical nonlinear high order heat equation |
| topic | Nonlinear high-order heat equation Global existence Decay Blow-up |
| url | https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.03.002/full/pdf |
| work_keys_str_mv | AT tareksaanouni remarksonthecriticalnonlinearhighorderheatequation |