Optimality conditions for boundary control of non‐well‐posed elliptic equations | Zendy

Luan Shu | Zendy; Gao Hang | Zendy; Lin Ping | Zendy

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Optimality conditions for boundary control of non‐well‐posed elliptic equations

Author(s) -

Luan Shu,

Gao Hang,

Lin Ping

Publication year - 2009

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.903

Subject(s) - limit (mathematics) , class (philosophy) , mathematics , optimal control , boundary (topology) , boundary value problem , control (management) , well posed problem , mathematical optimization , mathematical analysis , computer science , artificial intelligence

In this paper, we discuss a boundary optimal control problem governed by a class of non‐well‐posed semi‐linear elliptic equations. By considering a well‐posed penalization problem and taking limit in the optimality system for penalization problem, we obtain the necessary optimality conditions for optimal pairs of initial control problem. Copyright © 2009 John Wiley & Sons, Ltd.

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