ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING:GLOBAL EXISTENCE,DECAY AND BLOWUP OF THE SOLUTION 被引量：2

ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING:GLOBAL EXISTENCE,DECAY AND BLOWUP OF THE SOLUTION

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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. 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.

作者 Abderrahmane ZARA Nasser-eddine TATAR Salem ABDELMALEK

机构地区 Depatment of Mathematics and Informatic Depatment of Mathematics and Statistics Depatment of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期84-106,共23页 数学物理学报（B辑英文版）

关键词 elastic membrane equation global existence boundary damping boundarysource general decay BLOWUP elastic membrane equation global existence boundary damping boundarysource general decay blowup

分类号 O175 [理学—基础数学]

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