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    STUDIA MATHEMATICA - Issue no. 1 / 2022  
         
  Article:   BOUNDS FOR BLOW-UP TIME IN A SEMILINEAR PARABOLIC PROBLEM WITH VARIABLE EXPONENTS.

Authors:  ABITA RAHMOUNE, BENYATTOU BENABDERRAHMANE.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.1.13

Published Online: 2022-03-10
Published Print: 2022-03-31
pp. 181-188

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This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, more general lower bounds for a blow-up time are gained if the solutions blow up. This result extends a recent results by Baghaei Khadijeh et al. cite{Baghaei}, which confirms the Lower bounds for the blow-up time of solutions with initial data $varphi left( 0 ight) =int_{Omega }u_{0}^{k}dx$, $k$=constant.

Keywords: Parabolic equation, variable nonlinearity, bounds of the blow-up time.

Mathematics Subject Classification (2010): 35K55, 35K60, 35B44, 74G45.
 
         
     
         
         
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