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Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric

2010; IOS Press; Volume: 68; Issue: 1-2 Linguagem: Inglês

10.3233/asy-2010-0982

1875-8576

Yavar Kian,

Stability and Controllability of Differential Equations

We obtain global Strichartz estimates for the solution u of the wave equation ∂ 2 t u -divx(a(t, x)∇xu) = 0 with time-periodic metric a(t, x) equal to 1 outside a compact set with respect to x.We assume a(t, x) is a non-trapping perturbation and moreover, we suppose that there are no resonances zj ∈ C with |zj| ≥ 1.