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B. Schörkhuber, T. Meurer, A. Jüngel:
"Flatness-based trajectory planning for semilinear parabolic PDEs";
in: "51st IEEE Conference on Decision and Control", issued by: IEEE; IEEE, USA, 2012, ISBN: 978-1-4673--2066-5, 3538 - 3543.

Trajectory planning is considered for semilinear
parabolic partial differential equations (PDEs) with boundary
control. For this, a novel flatness-based technique is proposed,
which is based on the reformulation of the boundary control
problem as a Cauchy problem followed by a formal integration.
Solution existence is analyzed using a generalized Cauchy-
Kowalevskaja Theorem in suitable Gevrey classes and formal
integration. This moreover enables to deduce efficient seminumerical
design techniques, which are illustrated in a simulation
scenario.

Siehe englisches Abstract.

Parabolic equations; Gevrey spaces