L∞-optimal control of the periodic 1-D wave equation with x-dependent coefficients

DOI10.1016/S0362-546X(97)00537-3zbMath0934.49016OpenAlexW2093729068MaRDI QIDQ4266378

Jong Kyu Kim, Nicolae H. Pavel

Publication date: 4 April 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00537-3

zbMATH Keywords

maximum principleperiodic solutionswave equationoptimal control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (5)

Existence and regularity of weak periodic solutions of the 2-D wave equation ⋮ Closed range mild solution operators and nonconvex optimal control via orthogonality and generalized gradients ⋮ Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance ⋮ Resonance in nonlinear wave equations with \(x\)-dependent coefficients

Cites Work

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• About the stability of the inverse problem in 1-D wave equations application to the interpretation of seismic profiles
• Optimal control of the one-dimensional periodic wave equation
• Periodic solutions of nonlinear vibrating strings and duality principles
• Periodic solutions to nonlinear one dimensional wave equation with 𝑋-dependent coefficients
• Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem

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