Global Solutions for a Nonlocal Problem with Logarithmic Source Term
The current paper discusses the global existence and asymptotic behavior of solutions of the following new nonlocal problem$$ u_{tt}- M\left(\displaystyle \int_{\Omega}|\nabla u|^{2}\, dx\right)\triangle u + \delta u_{t}= |u|^{\rho-2}u \log|u|, \quad \text{in}\ \Omega \times ]0,\infty[, $$where\beg...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_712733_621d736ee4c56b9ae3237a0bb849f3d1.pdf |
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