Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy

Yang Liu, Pengju Lv, and Chaojiu Da. "Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy." Annales Polonici Mathematici 117.1 (2016): 89-99. <http://eudml.org/doc/286655>.

@article{YangLiu2016,
abstract = {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.},
author = {Yang Liu, Pengju Lv, Chaojiu Da},
journal = {Annales Polonici Mathematici},
keywords = {p-Laplacian evolution equation; finite time blow-up; critical initial energy; unstable set},
language = {eng},
number = {1},
pages = {89-99},
title = {Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy},
url = {http://eudml.org/doc/286655},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Yang Liu
AU - Pengju Lv
AU - Chaojiu Da
TI - Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 1
SP - 89
EP - 99
AB - 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.
LA - eng
KW - p-Laplacian evolution equation; finite time blow-up; critical initial energy; unstable set
UR - http://eudml.org/doc/286655
ER -