Li, YuxiangWu, Jichun2021-05-182021-05-182005-02-20Li, Y., & Wu, J. (2005). Extinction for fast diffusion equations with nonlinear sources. <i>Electronic Journal of Differential Equations, 2005</i>(23), pp. 1-7.1072-6691https://hdl.handle.net/10877/13594We 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalExtinctionFast diffusionFirst eigenvalueArticle