In this paper, we investigate the controllability on the IBVP for a class of wave equations with dynamic boundary conditions by the HUM method as well as the wellposedness for the related back-ward problems. After proving a new observability inequality, we establish new wellposedness and controllability theorems for the IBVP.
机构:
Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, BrazilUniv Virginia, Dept Math, Charlottesville, VA 22904 USA
Cavalcanti, Marcelo M.
Lasiecka, Irena
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Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
KFUPM, Dept Math, Dhahran, KSA, Saudi ArabiaUniv Virginia, Dept Math, Charlottesville, VA 22904 USA
Lasiecka, Irena
Toundykov, Daniel
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Univ Nebraska, Dept Math, Lincoln, NE 68588 USAUniv Virginia, Dept Math, Charlottesville, VA 22904 USA