Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms

详细信息    查看全文

• 作者：Ryo Ikehata^a ; ^{ikehatar@hiroshima-u.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Hiroshi Takeda^b ; ^{h-takeda@fit.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35L15 ; 35L05 ; secondary ; 35B40
• 刊名：Nonlinear Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：148
• 期：Complete
• 页码：228-253
• 全文大小：812 K

文摘

In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global existence of solutions for small initial data or the finite time blow-up of solutions, under the growth condition of the nonlinearity.