2023 Wilmington NC USA


  Contributed Session 2:  PDEs and Applications
Boundedness of blow-up time to a wave equation with logarithmic variable-exponent nonlinearity
Mohammad M Kafini
King Fahd University of Petroleum and Minerals-KFUPM
Saudi Arabia
  Co-Author(s):    None
  Abstract:
 

In this talk, we are concerned with a nonlinear wave equation with variable exponents. In the presence of the logarithmic nonlinear source, we established a global nonexistence result under sufficient conditions on the initial data only without imposing the Sobolev Logarithmic Inequality. We established a blow up result with upper bound and lower bound.