Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910535975436288 |
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| author | Zuo, Jiabin Lopes, Juliana Honda Rădulescu, Vicentiu D. |
| author_facet | Zuo, Jiabin Lopes, Juliana Honda Rădulescu, Vicentiu D. |
| contents | We consider a Kirchhoff-type diffusion problem driven by the magnetic fractional Laplace operator. The main result in this paper establishes that infinite time blow-up cannot occur for the problem. The proof is based on the potential well method, in relationship with energy and Nehari functionals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06325 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator Zuo, Jiabin Lopes, Juliana Honda Rădulescu, Vicentiu D. Analysis of PDEs 35R11, 35J20, 35J60 We consider a Kirchhoff-type diffusion problem driven by the magnetic fractional Laplace operator. The main result in this paper establishes that infinite time blow-up cannot occur for the problem. The proof is based on the potential well method, in relationship with energy and Nehari functionals. |
| title | Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator |
| topic | Analysis of PDEs 35R11, 35J20, 35J60 |
| url | https://arxiv.org/abs/2310.06325 |