Optimal Solution for the Viscous Modified Camassa–Holm Equation
- https://doi.org/10.1142/S1402925110001082How to use a DOI?
- Viscous modified Camassa–Holm equation, optimal control, optimal solution
In this paper, we study the optimal control problem for the viscous modified Camassa–Holm equation. We first prove the existence and uniqueness of a weak solution to this equation in a short interval by using the Galerkin method. Furthermore, the existence of an optimal solution to the viscous modified Camassa–Holm equation is proved.
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Cite this article
TY - JOUR AU - Anna Gao AU - Chunyu Shen PY - 2021 DA - 2021/01 TI - Optimal Solution for the Viscous Modified Camassa–Holm Equation JO - Journal of Nonlinear Mathematical Physics SP - 571 EP - 589 VL - 17 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110001082 DO - https://doi.org/10.1142/S1402925110001082 ID - Gao2021 ER -