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    STUDIA MATHEMATICA - Issue no. 3 / 2020  
         
  Article:   OPTIMAL DECAY RATES FOR THE ACOUSTIC WAVE MOTIONS WITH BOUNDARY MEMORY DAMPING.

Authors:  KHALIDA BENOMAR, ABBES BENAISSA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.3.12

Published Online: 2020-09-15
Published Print: 2020-09-15
pp. 471-482
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ABSTRACT: A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The (ABC) contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.

Key words: Wave equation, Acoustic boundary conditions, Boundary memory.
 
         
     
         
         
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