The work establishes continuous Fréchet differentiability of the switching-point-to-control map for abstract semilinear parabolic equations and characterizes the convex hull of feasible switching functions via an extended formulation.
On Nemytskij operators inL p-spaces of abstract functions
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Switching Point Optimization for Abstract Parabolic Equations
The work establishes continuous Fréchet differentiability of the switching-point-to-control map for abstract semilinear parabolic equations and characterizes the convex hull of feasible switching functions via an extended formulation.