Interior control of waves on time dependent domains
arXiv:2202.05205 · doi:10.1016/j.jmaa.2022.126468
Abstract
We obtain a novel interior control result for wave equations on time dependent domains. This is done by deriving a suitable Carleman estimate and proving the corresponding observability inequality. We consider the wave equation with time dependent lower order coefficients, without any time analyticity assumptions. Moreover, we obtain improved control regions when compared with standard Carleman methods.
19 pages, minor typography corrections