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In this paper, we study the $L^p$-asymptotic stability of the one-dimensional linear damped wave equation with Dirichlet boundary conditions in $[0,1]$, with $p\in (1,\infty)$. The damping term is assumed to be linear and localized to an arbitrary op
Externí odkaz:
http://arxiv.org/abs/2104.05679
Publikováno v:
SIAM Journal on Control and Optimization. 59:1604-1627
In this paper, we study input-to-state stability (ISS) issues for damped wave equations with Dirichlet boundary conditions on a bounded domain of dimension two. The damping term is assumed to be no...