Special Session 175: Modern Trends in Partial Differential Equations and General Relativity

The critical case for the EPDT equation
Alessandro Palmieri
University of Bari
Italy
Co-Author(s):    Ning-An Lai, Hiroyuki Takamura
Abstract:
In this talk, we investigate the blow-up of local solutions to the semilinear Euler-Poisson-Darboux-Tricomi equation with a critical exponent of Strauss-type. By using a Kato-type comparison lemma for ODE, the Radon transform and Yagdjian`s integral representation approach, we derive a blow-up result following the approach for the determination of the sharp upper bound estimates for the lifespan for the critical wave equation by Takamura-Wakasa [JDE, 2011].