On Cauchy problem in the multianisotropic Gevrey spaces for weighted hyperbolic equations

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• 作者：V. N. Margaryan ; H. G. Ghazaryan
• 关键词：12E10 ; Cauchy problem ; weighted hyperbolic operator (polynomial) ; multianisotropic Gevrey space
• 刊名：Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：50
• 期：3
• 页码：107-113
• 全文大小：474 KB
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• 作者单位：V. N. Margaryan (1)
  H. G. Ghazaryan (1)
  
  1. Russian-Armenian (Slavonic) University, Yerevan State University, Yerevan, Armenia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-9416

文摘

In this paper we prove existence of a unique solution of Cauchy problem in the multianisotropic Gevrey spaces for a class of weighted hyperbolic equations with sufficiently general weight.