Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913358533361664 |
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| author | Dukenbayeva, Aishabibi |
| author_facet | Dukenbayeva, Aishabibi |
| contents | In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator. The approach is based on the concavity argument and the Poincaré inequality related to the Baouendi-Grushin operator from [24], inspired by the recent work [21]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator Dukenbayeva, Aishabibi Analysis of PDEs 35K65, 35K91, 35B44, 35A01 In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator. The approach is based on the concavity argument and the Poincaré inequality related to the Baouendi-Grushin operator from [24], inspired by the recent work [21]. |
| title | Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator |
| topic | Analysis of PDEs 35K65, 35K91, 35B44, 35A01 |
| url | https://arxiv.org/abs/2405.13222 |