Abstract
We obtain necessary and sufficient conditions for finding the divided optimal control for parabolic-hyperbolic equations with non-local boundary conditions and general quadratic criterion in the special norm. The initial data, which guarantee the classical solvability of the problem, was drown out. The unique solvability of problem is established, systems kernels are estimated, and the convergence of solutions of the problem is proved.
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Kapustyan, V.O., Pyshnograiev, I.O. (2019). Divided Optimal Control for Parabolic-Hyperbolic Equation with Non-local Pointed Boundary Conditions and Quadratic Quality Criterion. In: Sadovnichiy, V., Zgurovsky, M. (eds) Modern Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-96755-4_25
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DOI: https://doi.org/10.1007/978-3-319-96755-4_25
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