A minimizer for optimizing the initial velocity in a wave equation

DOI10.1080/02331934.2010.511673zbMath1236.49010OpenAlexW2024076469MaRDI QIDQ3225087

Yeşim Saraç, Murat Subaşi

Publication date: 15 March 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.511673

zbMATH Keywords

optimizationwave equationFréchet differential

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Time discrete wave equations: boundary observability and control
• An optimal control problem governed by the potential of a linear Schrödinger equation
• Simultaneous determination of the source terms in a linear hyperbolic problem from the final overdetermination: weak solution approach
• A variational method of optimal control problems for nonlinear Schrödinger equations
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• Optimal switching boundary control of a string to rest in finite time

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