Author(s) :
Arnd Rösch
,
Fredi Tröltzsch
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 0733-2002
MSC 2000
- 49K20 Problems involving partial differential equations
-
90C48 Programming in abstract spaces
Abstract :
An optimal control problem for a semilinear parabolic equation is investigated,
where pointwise constraints are given on the control and the state.
The state constraints are of mixed (bottleneck) type, where associated
Lagrange multipliers can assumed to be bounded and measurable functions. Based
on this property, a second-order sufficient optimality condition is
established that considers strongly active constraints.
Keywords :
Optimal control, heat equation, parabolic differential equation, sufficient second-order optimality condition,pointwise mixed control-state constraints, bottleneck constraints