Cesari-type conditions for semilinear elliptic equation with leading term containing controls
Abstract: An optimal control problem governed by semilinear elliptic partial differential equation 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.
Keywords: Optimal control, existence
condition, elliptic equation, homogenization, Cesari-type
Received: November 2010; Revised: February 2011; Available Online: March 2011.
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