The STUDIA UNIVERSITATIS BABE┼×-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 4 / 2020  
         
  Article:   ON THE VISCOELASTIC EQUATION WITH BALAKRISHNAN- TAYLOR DAMPING AND NONLINEAR BOUNDARY/INTERIOR SOURCES WITH VARIABLE-EXPONENT NONLINEARITIES.

Authors:  ABITA RAHMOUNE, BENYATTOU BENABEDERRAHMANE.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.4.09

Published Online: 2020-11-28
Published Print: 2020-12-20
pp. 599-639

VIEW ARTICLE

VIEW ISSUE PDF


ABSTRACT: This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping and nonlinear boundary interior sources with variable exponents. Under appropriate assumptions we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function.

Keywords: Balakrishnan-Taylor damping; global existence; general decay; relaxation function; viscoelastic equation; Lebesgue and Sobolev spaces with variable exponents.
 
         
     
         
         
      Back to previous page