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    STUDIA MATHEMATICA - Issue no. 3 / 2020  
         
  Article:   EXPONENTIAL DECAY OF THE VISCOELASTIC WAVE EQUATION OF KIRCHHOFF TYPE WITH A NONLOCAL DISSIPATION.

Authors:  MOHAMED MELLAH, ALI HAKEM.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.3.10

Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 429-451
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ABSTRACT: The viscoelastic wave equation of Kirchhoff type with nonlinear and nonlocal damping is considered in a bounded domain of R^N. The existence of global solutions and decay rates of the energy are proved.

Key words: Kirchhoff equation; nonlocal damping; global solution; energy decay; relaxation function
 
         
     
         
         
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