Geodesic
Blow-up of a nonlocal $p$-Laplacian evolution equation with critical initial energy
Yang Liu1 ; Pengju Lv2 ; Chaojiu Da1
1College of Mathematics and Computer Science Northwest University for Nationalities 730124 Lanzhou, People’s Republic of China
2Department of Medical Informatics Harbin Medical University 163319 Daqing, People’s Republic of China
Annales Polonici Mathematici, Tome 117 (2016) no. 1, pp. 89-99

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DOI

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.
DOI : 10.4064/ap3807-1-2016
Keywords: paper concerned initial boundary value problem nonlocal p laplacian evolution equation critical initial energy framework energy method construct unstable set establish its invariance finally finite time blow up solutions derived combination unstable set concavity method

Yang Liu  1   ; Pengju Lv  2   ; Chaojiu Da  1

1 College of Mathematics and Computer Science Northwest University for Nationalities 730124 Lanzhou, People’s Republic of China
2 Department of Medical Informatics Harbin Medical University 163319 Daqing, People’s Republic of China 
Yang Liu; Pengju Lv; Chaojiu Da. Blow-up of a nonlocal $p$-Laplacian evolution equation with critical initial energy. Annales Polonici Mathematici, Tome 117 (2016) no. 1, pp. 89-99. doi: 10.4064/ap3807-1-2016
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