Abstract
We study optimal control problems where the system is governed by some quasilinear parabolic equations and there are restrictions on the control as well as on the state. The distributed control can appear in all the coefficients of the operator. State constraints of integral type and also pointwise in time are considered. Our main interest is the derivation of the first order optimality conditions. Finally, an application to exact controllability in finite dimensional subspaces is given.
This work was partially supported by DGICYT (Spain). Proyect PB 94 - 1067.
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Fernández, L.A. (1999). State Constrained Optimal Control for some Quasilinear Parabolic Equations. In: Hoffmann, KH., Leugering, G., Tröltzsch, F., Caesar, S. (eds) Optimal Control of Partial Differential Equations. ISNM International Series of Numerical Mathematics, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8691-8_12
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DOI: https://doi.org/10.1007/978-3-0348-8691-8_12
Publisher Name: Birkhäuser, Basel
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