Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls

Details Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls

2010-12-05

arxiv.org/abs/1012.0989v1

Mathematics

Optimization and Control

24 pages

Scientific paper

An optimal control problem governed by semilinear elliptic partial
differential equations is considered. The equation is in divergence form with
the leading term containing controls. By studying the $G$-closure of the
leading term, an existence result is established under a Cesari-type condition.

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