The Global existence and blow-up of solutions for a class of Steklov parabolic problems
In this paper, we study weak solutions to the following Steklov parabolic problem: $$ \begin{cases} u_t - \Delta_p u + \vert u \vert^{p-2} u = 0 \quad \quad \text{ in } ~ \Omega ,~ t>0 , \\ \vert \nabla u \vert^{p-2} \frac{\partial u}{\partial \nu }= \lambda \vert u \vert ^{q} u \quad...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2024-05-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62200 |