Blow-up of a nonlocal $p$-Laplacian evolution equation with critical initial energy
Tom 117 / 2016
Annales Polonici Mathematici 117 (2016), 89-99
MSC: Primary 35B44; Secondary 35K65.
DOI: 10.4064/ap3807-1-2016
Opublikowany online: 23 May 2016
Streszczenie
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.
