Global small data radial symmetric solutions of 3D semilinear Euler-Poisson-Darboux equations

Qianqian Li, Qiao Xin, Huicheng Yin

For the 3D semilinear Euler-Poisson-Darboux equation $\square u+\frac{\mu }{t}{\partial }_{t}u=|u{|}^p$, where $t\ge 1$, $\mu >0$ and $p>1$, it is conjectured that there is a critical exponent $p…