数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 84-106.doi: 10.1016/S0252-9602(12)60196-9
Abderrahmane ZARAÏ|Nasser-eddine TATAR|Salem ABDELMALEK
Abderrahmane ZARAÏ|Nasser-eddine TATAR|Salem ABDELMALEK
摘要:
In this paper we consider the Elastic membrane equation with memory term and nonlinear boundary damping. Under some appropriate assumptions on the relaxation function h and with certain initial data, the global existence of solutions and a general decay for the energy are established using the multiplier technique. Also, we show that a nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of a nonlinear damping.
中图分类号: