| Abstract: |
| We investigate the Cauchy problem for the nonlocal nonlinear parabolic equation
\begin{equation}\label{pb1}
u_t+(-\Delta)^{\beta/2}
(|u|^p)=|u|^{q}}&\displaystyle {x\in {\mathbb{R}^N},\;t>0.
\end{equation}
We obtain sufficient conditions for nonexistence of global weak solutions of this problem. These results were obtained jointly with Prof. Ahmad Fino (Lebanese University). The research was supported by the RUDN Program ``5-100''. |
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