BILINEAR OPTIMAL CONTROL OF THE VELOCITY TERM IN A VON KÁRMÁN PLATE EQUATION

DOI10.1017/S1446181113000205zbMath1279.49004MaRDI QIDQ2865144

Jong Yeoul Park, Yong Han Kang, Sun Hye Park

Publication date: 28 November 2013

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

optimal controluniquenessexistence of weak solutionsnecessary conditionsvon Karman plate evolution equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Existence of solutions of dynamical problems in solid mechanics (74H20)

Cites Work

• Bilinear optimal control of the velocity term in a Kirchhoff plate equation
• Uniqueness theorem for weak solutions of von Karman evolution equations
• Global decay rates for the solutions to a von Kármán plate without geometric conditions
• Inertial manifolds for von Karman plate equations
• Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
• Finite dimensionality and compactness of attractors for von Karman equations with nonlinear dissipation
• Uniform decay for a von Karman plate equation with a boundary memory condition
• Boundary Stabilization for the von Kármán Equations

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