报告题目:Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity
报告人:华中科技大学 刘斌教授
报告时间:2019年05月18日 18:30-21:30
报告地点:数学馆310
报告摘要:This talk is devoted to the optimal distributed control problem governed by a class of nonlinear dispersive equations with cubic nonlinearity, which contains the famous Novikov equation as special case. We first investigate the existence and uniqueness of the weak solution for the controlled system, and then find an optimal solution for the controlled system with the generalized cost functional. Moreover, by means of the method suggested by A.Ya. Dubovitskii and A.A. Milyutin, we establish the first order necessary optimality condition of optimal control for the controlled system in the fixed final horizon case.