Existence of Optimal Control for a Nonlinear Partial Differential Equation of Hyperbolic Type

Authors

  • Dieudonne Ampini
  • Mabonzo Vital Delmas

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3577

Keywords:

Optimal control, Hyperbolic equation, Functional.

Abstract

In this paper, we prove the existence of an optimal control for a nonlinear hyperbolic problem, examined in [3]. An estimation is used which makes it possible to extract from a minimizable sequence of controls and from the sequence of corresponding solutions weakly convergent sub sequences. To prove the passage to the limit in a true equality for every element of the minimizable sequence, Lebesgue’s theorem on the passage to the limit under the integral sign and the theorem of immersion have been used.

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Published

2019-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Existence of Optimal Control for a Nonlinear Partial Differential Equation of Hyperbolic Type. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1595-1601. https://doi.org/10.29020/nybg.ejpam.v12i4.3577