Abstract
We study the nonexistence of global weak solutions for equations of the following type: \begin{equation} u_{tt}-\Delta\ u +g(t)\ u_t=|u|^p \label{*} \end{equation} where $g(t)$ behaves like $t^{\beta},\ 0\leq\beta< 1$. Then the situation is extended to systems of equations of the same type, and more general equation than $(\ref{*})$.
Citation
Alin Hakem. "Nonexistence of weak solutions for evolution problems on $\R^n$." Bull. Belg. Math. Soc. Simon Stevin 12 (1) 73 - 82, April 2005. https://doi.org/10.36045/bbms/1113318131
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