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arxiv: 1012.0989 · v1 · pith:P4QGBWHEnew · submitted 2010-12-05 · 🧮 math.OC

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

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keywords leadingtermcesari-typecontainingcontrolsellipticequationssemilinear
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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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