Yavar Kian

most citedOn the meromorphic continuation of the resolvent for the wave equation with time-periodic perturbation and applications

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math.AP2011★ 1 cited

On the meromorphic continuation of the resolvent for the wave equation with time-periodic perturbation and applications

Yavar Kian

Consider the wave equation $\partial_{t}^{2} u - Δ_{x} u + V (t, x) u = 0$ , where $x \in R^{n}$ with $n \geq 3$ and $V (t, x)$ is $T$ -periodic in time and decays exponentially in space. Let $U (t, 0)$ be t…

math.AP2011

Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates

Yavar Kian

We obtain local energy decay as well as global Strichartz estimates for the solutions $u$ of the wave equation $\partial_{t}^{2} u - d i v_{x} (a (t, x) \nabla_{x} u) = 0, t \in R, x \in R^{n},$ wi…

math.AP2011

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

Yavar Kian

We obtain global Strichartz estimates for the solution $u$ of the wave equation $\partial_t^2 u-\Div_x(a(t,x)\nabla_xu)=0$ with time-periodic metric $a (t, x)$ equal to 1 outside a c…