Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity

DOI10.1016/j.na.2015.03.018zbMath1319.35281OpenAlexW2025989264MaRDI QIDQ2349028

Lei Zhang, Bin Liu

Publication date: 16 June 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.03.018

zbMATH Keywords

existence and uniquenessnecessary optimality conditionoptimal distributed controlnonlinear dispersive equationDubovitskii-Milyutin theory

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial value problems for nonlinear higher-order PDEs (35G25) Existence theories for optimal control problems involving partial differential equations (49J20) Other special methods applied to PDEs (35A25) PDEs in connection with control and optimization (35Q93)

Related Items (5)

The optimal control problem with necessity condition for a viscous shallow water equation ⋮ Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation ⋮ Optimal solution and optimality condition of the Hunter-Saxton equation ⋮ Global asymptotic stabilization of the Hunter-Saxton control system ⋮ Weak solution of the Novikov equation and optimal control

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