Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the dependence between the initial data and the l...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-11-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2023-0117 |