The global existence and time-decay for the solutions of the fractional pseudo-parabolic equation
作者: Lingyu JinLang LiShaomei Fang
作者单位: 1Department of Mathematics, South China Agricultural University, Guangzhou 510642, China
刊名: Computers and Mathematics with Applications, 2017
来源数据库: Elsevier Journal
DOI: 10.1016/j.camwa.2017.03.005
关键词: Time-decayFractional pseudo-parabolic equationRegularity-loss
英文摘要: Abstract(#br)We consider the Cauchy problem of fractional pseudo-parabolic equation on the whole space R n , n ≥ 1 . Here, the fractional order α is related to the diffusion-type source term behaving as the usual diffusion term on the high frequency part. It has a feature of regularity-gain and regularity-loss for α > 1 and 0 < α < 1 , respectively. We establish the global existence and time-decay rates for small-amplitude solutions to the Cauchy problem for α > 0 . In the case that 0 < α < 1 , we introduce the time-weighted energy method to overcome the weakly dissipative property of the equation.
全文获取路径: Elsevier  (合作)
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影响因子:2.069 (2012)

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关键词翻译
关键词翻译
  • fractional 分级的
  • pseudo 
  • decay 腐败
  • parabolic 抛物线的
  • existence 存在
  • equation 方程
  • global 球状的