Premium
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.