Identification problem for damped sine-Gordon equation with point sources

DOI10.1016/j.jmaa.2010.10.006zbMath1213.35070OpenAlexW1992615109MaRDI QIDQ615931

Semion Gutman, Jun-hong Ha

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.006

zbMATH Keywords

optimal controlFréchet differentiabilityparameter identificationsine-Gordon equationoptimal parametersbang-bang control principledifferentiability of the solution map

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order semilinear hyperbolic equations (35L71) PDEs in connection with control and optimization (35Q93)

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Cites Work

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• Fréchet differentiability of solution mappings for semilinear second order evolution equations
• Fréchet differentiability for a damped sine-Gordon equation
• Many-particle effects in nearly integrable systems
• Infinite-dimensional dynamical systems in mechanics and physics
• IDENTIFICATION PROBLEMS OF DAMPED SINE-GORDON EQUATIONS WITH CONSTANT PARAMETERS
• OPTIMAL PARAMETERS FOR A DAMPED SINE-GORDON EQUATION
• Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms

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