English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Consider the mixed problem with Dirichelet condition associated to the waveequation $\partial_t^2u-\Div_{x}(a(t,x)\nabla_{x}u)=0$, where the scalar metric$a(t,x)$ is $T$-periodic in $t$ and uniformly equal to 1 outside a compact setin $x$, on a $T$-periodic domain. Let $\mathcal U(t, 0)$ be the associatedpropagator. Assuming that the perturbations are non-trapping, we prove themeromorphic continuation of the cut-off resolvent of the Floquet operator$\mathcal U(T, 0)$ and establish sufficient conditions for local energy decay.

Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle