Extinction for fast diffusion equations with nonlinear sources
| dc.contributor.author | Li, Yuxiang | |
| dc.contributor.author | Wu, Jichun | |
| dc.date.accessioned | 2021-05-18T20:04:21Z | |
| dc.date.available | 2021-05-18T20:04:21Z | |
| dc.date.issued | 2005-02-20 | |
| dc.description.abstract | We establish conditions for the extinction of solutions, in finite time, of the fast diffusion problem ut = ∆um + λup, 0 < m < 1, in a bounded domain of RN with N > 2. More precisely, we show that if p > m, the solution with small initial data vanishes in finite time, and if p < m, the maximal solution is positive for all t > 0. If p = m, then first eigenvalue of the Dirichlet problem plays a role. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, Y., & Wu, J. (2005). Extinction for fast diffusion equations with nonlinear sources. <i>Electronic Journal of Differential Equations, 2005</i>(23), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13594 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Extinction | |
| dc.subject | Fast diffusion | |
| dc.subject | First eigenvalue | |
| dc.title | Extinction for fast diffusion equations with nonlinear sources | |
| dc.type | Article |