Energy decay and exact controllability for the Petrovsky equation in a bounded domain

DOI10.1016/0196-8858(90)90015-QzbMath0712.93003MaRDI QIDQ749477

Yun-Cheng You

Publication date: 1990

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

global exact controllabilityPetrovsky equationuniformly exponential energy decay

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Control/observation systems in abstract spaces (93C25)

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Cites Work

• Decay of solutions of wave equations in a bounded region with boundary dissipation
• Exact boundary controllability of a hybrid system of elasticity
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• Dispersal of waves vanishing on the boundary of an exterior domain
• Decay for solutions of the exterior problem for the wave equation
• Exponential decay of solutions of the wave equation
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