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Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system
A singular perturbed problem for semilinear wave equations with small parameter
| 1. | Institute of Applied Mathematics, South-west Jiaotong University, Chengdu 610031, China |
$\delta u_{t t}-\Delta u +u_t = F(u, \nabla u),$
$t = 0 : u = \epsilon u_0(x), u_t = \epsilon u_1(x),$
where $\delta$ and $\epsilon$ are small positive parameters. Moreover, we consider the related singular perturbated problem as $\delta\to 0$ and show that the perturbated term $\delta u_{t t}$ has an appreciable effect only for a short times.
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