Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
Abstract This paper is devoted to studying a nonlocal parabolic equation with logarithmic nonlinearity ulog|u|−⨏Ωulog|u|dx $u\log |u|-\fint_{\Omega } u\log |u|\,dx$ in a bounded domain, subject to homogeneous Neumann boundary value condition. By using the logarithmic Sobolev inequality and energy es...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1042-7 |