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- W2094479990 abstract "In this paper, we establish hierarchic control for the linear heat equation in ℝN with potentials. Our strategy is inspired by the techniques developed by Diaz and Lions [On the approximate controllability of Stackelberg-Nash strategies. In: Diaz JI, editor. Ocean circulation and pollution control mathematical and numerical investigations. Berlin: Springer; 2005. p. 17–27]; however, many new difficulties arise due to lack of compactness of Sobolev embeddings. We manage these adversities by employing similarity variables and weighted Sobolev spaces." @default.
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- W2094479990 date "2014-05-19" @default.
- W2094479990 modified "2023-09-23" @default.
- W2094479990 title "On the approximate controllability of Stackelberg–Nash strategies for linear heat equations in ℝNwith potentials" @default.
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- W2094479990 doi "https://doi.org/10.1080/00036811.2014.901503" @default.
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