Special Session 67: Fractional Differential Equations: Theory, Methods and Applications
Blow-up and lifespan estimate of the solution of the wave equation with critical damping
Mohamed Ali Hamza
Imam Abdulrahman Bin Faisal University
Saudi Arabia
Co-Author(s):    
Abstract:
In this talk we discuss the wave equation in the critical damping case. In the first part, we study the influence of the damping term in the global dynamics of the solution in the case of time derivative nonlinearity, under the assumption of small initial data. The second part will be devoted for the same problem in the case whith combined nonlinearities.
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