| Contents |
| In the present talk we discuss the global existence theory for some wave equation of kind
\begin{equation*}
u_{tt}(t,x)-a(t)\Delta u(t,x)+b(t)u_t(t,x)=\Gamma(t,x)f(u(t,x))\quad t>0, \; x\in \R^n
\end{equation*}
with positive $a,b$ and $|f(u)|\simeq |u|^p$ with $p>1$.
This kind of results depends in
on the size of the initial data,
on the growth of the nonlinear term, on the growth or on the zero order of the time-coefficients, $a,b,\Gamma$
After a brief review of the literature on this problem, we shall present in detail
recent results on this subject. |
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