Non-extinction of solutions to a fast diffusion system with nonlocal sources
In this short article, we give a positive answer to the problem proposed by Zheng et al [5], and show that the fast diffusion system $$\displaylines{ u_t=\hbox{div}(|\nabla u|^{p-2}\nabla u) +\int_\Omega v^\alpha\,dx, \cr v_t =\hbox{div}(|\nabla v|^{q-2}\nabla v) +\int_\Omega u^\beta\,dx }$$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/45/abstr.html |