Optimal control of a viscous generalized θ-type dispersive equation with weak dissipation

Autor: Fan Guobing, Yang Zhifeng
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Open Mathematics, Vol 18, Iss 1, Pp 1302-1316 (2020)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2020-0075
Popis: In this paper, we investigate the problem for optimal control of a viscous generalized θ\theta -type dispersive equation (VG θ\theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG θ\theta -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem.
Databáze: Directory of Open Access Journals