Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints | Zendy

J.-P. Raymond | Zendy; Fredi Tröltzsch | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints

Author(s) -

J.-P. Raymond,

Fredi Tröltzsch

Publication year - 2000

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2000.6.431

Subject(s) - pointwise , smoothness , mathematics , optimal control , dimension (graph theory) , domain (mathematical analysis) , nonlinear system , boundary (topology) , state (computer science) , order (exchange) , control (management) , parabolic partial differential equation , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , partial differential equation , pure mathematics , algorithm , economics , physics , finance , quantum mechanics , artificial intelligence

In this paper, optimal control problems for semilinear parabolic equations with distributed and boundary controls are considered. Pointwise constraints on the control and on the state are given. Main emphasis is laid on the discussion of second order sufficient optimality conditions. Sufficiency for local optimality is verified under different assumptions imposed on the dimension of the domain and on the smoothness of the given data.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research