Global existence and blow-up for wave equation of p-Laplacian type
Tóm tắt
This article explores a quasilinear wave equation of p-Laplacian type:
$$\begin{aligned} u_{tt}-\Delta _{p}u-\Delta u_t=|u|^{r-1}u \end{aligned}$$
in a bounded domain
$$\Omega \subset \mathbb {R}^{3}$$
and subject to Dirichlet boundary conditions. The operator
$$\Delta _{p}$$
denotes the classical p-Laplacian with
$$2
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