Boundary Control for a Generalized Wave Equation -- Revisiting Russell's Method of Control
Analysis of PDEs
2019-11-19 v1
Abstract
In this work we study the exact boundary controllability of a generalized wave equation in a nonsmooth domain with a nontrapping obstacle. In the more general case, this work contemplates the boundary control of a transmission problem admitting several zones of transmission. The result is obtained using the technique developed by David Russell, taking advantage of the local energy decay for the problem, obtained through the Scattering Theory as used by Vodev, combined with a powerful trace Theorem due to Tataru.
Keywords
Cite
@article{arxiv.1911.07634,
title = {Boundary Control for a Generalized Wave Equation -- Revisiting Russell's Method of Control},
author = {M. Astudillo and M. M. Cavalcanti and V. N. Domingos Cavalcanti and V. H. Gonzalez Martinez},
journal= {arXiv preprint arXiv:1911.07634},
year = {2019}
}