Optimization of boundary displacement control of radially symmetric vibrations of a three-dimensional ball

DOI10.1134/S0012266115110063zbMath1332.49003MaRDI QIDQ258180

A. V. Kurkina

Publication date: 17 March 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

optimal boundary controlboundary displacement controlradially symmetric vibrationsthree-dimensional ball

Mathematics Subject Classification ID

Wave equation (35L05) Random vibrations in dynamical problems in solid mechanics (74H50) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
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