Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy
Yang Liu, Pengju Lv, Chaojiu Da (2016)
Annales Polonici Mathematici
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This paper is concerned with the initial boundary value problem for a nonlocal p-Laplacian evolution equation with critical initial energy. In the framework of the energy method, we construct an unstable set and establish its invariance. Finally, the finite time blow-up of solutions is derived by a combination of the unstable set and the concavity method.