Optimal Solution for the Viscous Modified Camassa–Holm Equation
- 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 - 2021/01/07 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 - 10.1142/S1402925110001082 ID - Gao2021 ER -