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• W1888935167 abstract "The purpose of this work is to illustrate how the theory of Muckenhoupt weights, weighted Sobolev spaces and weighted norm inequalities can be used in the analysis and discretization of optimal control problems. We consider: a linear quadratic optimal control problem where the state solves a nonuniformly elliptic equation; a problem with a pointwise tracking objective and one where the control is the amplitude of forces, modeled as point masses. For all three examples we propose and analyze numerical schemes. While some of these problems might have been considered before in the literature, our approach allows for a simpler, Hilbert space-based, analysis and discretization and further generalizations." @default.
• W1888935167 created "2016-06-24" @default.
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• W1888935167 date "2015-05-14" @default.
• W1888935167 modified "2023-09-27" @default.
• W1888935167 title "Some applications of weighted norm inequalities to the analysis of optimal control problems" @default.
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