The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives

DOI10.1016/j.cam.2016.03.024zbMath1359.37073OpenAlexW2339126514MaRDI QIDQ277183

Vagif S. Guliyev, A. B. Sadigov, Rovshan A. Bandaliyev, Ilgar G. Mamedov

Publication date: 4 May 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.024

zbMATH Keywords

optimal controlSobolev spacesPontryagin's maximum principleGoursat problemdominating mixed derivatives

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (4)

Fractional optimal control problem for ordinary differential equation in weighted Lebesgue spaces ⋮ Optimal control problem for Bianchi equation in variable exponent Sobolev spaces ⋮ Optimal control problem for a degenerate fractional differential equation ⋮ On Hardy inequality in variable Lebesgue spaces with mixed norm

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