Abstract
An optimization control problem for a nonlinear hyperbolic equation with non-smooth nonlinearity and infinite time horizon without global solvability of the boundary problem is considered. This problem is solved using an approximation. The convergence of the approximation is proved. Necessary conditions of optimality are obtained.
Mathematics Subject Classification. 49K20.
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Serovajsky, S., Shakenov, K. (2012). An Optimal Control Problem for a Nonlinear Hyperbolic Equation with an Infinite Time Horizon. In: Ruzhansky, M., Sugimoto, M., Wirth, J. (eds) Evolution Equations of Hyperbolic and Schrödinger Type. Progress in Mathematics, vol 301. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0454-7_15
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DOI: https://doi.org/10.1007/978-3-0348-0454-7_15
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